Garlon Green and Amric Fields added 14 each for the Horned Frogs (10-5), who made eight of their first 14 shots.
Nate Butler had nine rebounds and Kyan Anderson seven assists for TCU, which has won two in a row and three of four.
Brandon Provost and Aaron Urbanus scored 14 points each for the Broncs (5-15), losers of three straight and seven of eight.
Provost had a game-high four 3-pointers as Texas-Pan American tumbled to 0-11 on the road. His 3-pointer got the Broncs on the board after 6:44 had elapsed.
The Horned Frogs held a shooting edge of 52 percent to 37 percent and outrebounded the Broncs 41-30.
TCU, which led 47-28 at halftime, is 6-0 against opponents from Texas.
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- Sports & Recreation/Basketball