What ratio forms a proportion with 12/8

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The longer leg of a 30° 60° 90° triangle is 16 times square root of three how long is a shorter leg

Three numbers x, y, and z are in the ratio 2: 7: 8. if 12 is subtracted from y, then three numbers form a geometric sequence (in the order x, y–12, z). find x, y, and z. there are 2 sets.