Let x, y, z be three positive real numbers in a geometric progression such that x < y < z. If 5x, 16y, and 12z are in an arithmetic progression then the common ratio of the geometric progression is

A

$$\frac{3}{6}$$

B

$$\frac{1}{6}$$

C

$$\frac{5}{2}$$

D

$$\frac{3}{2}$$