The Spurs led by as many as 23 points in the first half, building a big early lead just as they had in the first two games of the series in San Antonio. The teams meet again on Monday at the Moda Center.
LaMarcus Aldridge had 21 points and 12 rebounds for the Portland, which pulled within eight points in the third quarter but couldn't get any closer. The Blazers were hurt by 15 turnovers and only six points from their bench.
No NBA team has come back from a 3-0 deficit to win a seven-game series.
The one time Portland rebounded after a two-loss series start was in the 1977 finals against Philadelphia — which remains the team's lone NBA championship.
San Antonio, the top seed in the West, is vying for a second straight trip to the finals: Last season the Spurs fell to the Miami Heat in seven games.
The winner of the series goes on to meet the winner of the other semifinal between Oklahoma City and the Clippers. The Thunder lead that series 2-1.
San Antonio has dominated this one.
On Thursday night, the Spurs built a 20-point lead and won 114-97. The Spurs routed the Blazers 116-92 in the series opener after a hard-fought seven-game series against the Dallas Mavericks.
The Blazers were without reserve guard Mo Williams, who has a groin injury. Williams played just 9 minutes in Game 2, and the Spurs' backups outscored Portland's 50-19.
Williams has consistently brought a spark and leadership off the bench the whole season, and has capably filled in while Lillard rests. Earl Watson and Will Barton helped spell starter Damian Lillard in Game 3.
The Blazers took a brief 13-12 lead midway through the first quarter on Lillard's step-back jumper. It was just their second lead of the series.
But Parker pestered the Blazers and his finger-roll layup put the Spurs up 25-15. Marco Belinelli's falling-down jumper pushed the lead to 28-17 before the first quarter was over.
Parker's back-to-back 3-pointers gave the Spurs a 58-35 late first-half lead and they went into the break ahead 60-40.
Portland rallied to start the second half, pulling within 64-52 after Nicolas Batum's 3-pointer. He hit another 3 to narrow it to 68-60, but the Spurs kept the Blazers from coming any closer and led 83-69 going into the fourth.
Parker's layup and free throw gave San Antonio a 100-81 lead in the fourth. Portland mounted a rally to come within 103-91 on Robin Lopez's layup with 5:46 left.
Portland advanced to the second round for the first time in 14 years by defeating the Houston Rockets in six games, clinching the series with Lillard's amazing 3-pointer at the buzzer at home for a 99-98 victory in the deciding game.
The Spurs have a 3-2 series advantage over Portland in the playoffs, sweeping the previous meeting in the 1999 conference finals. The teams split the regular-season series 2-2.
Notes: Before Game 2 in San Antonio, Blazers forward Thomas Robinson saw a snake in the locker room at the AT&T Center. Because the snake hissed, the team at first thought it was a rattlesnake, but it later turned out it was not venomous. So before Saturday night's game, Spurs coach Gregg Popovich was asked if his team had seen any critters in the Moda Center: "We expected a Beaver but we didn't see one," he laughed. ... Tim Duncan moved past Karl Malone into fifth place all-time for career playoff points. He trails only Michael Jordan, Kareem Abdul Jabbar, Kobe Bryant and Shaquille O'Neal.
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