Three real numbers $a, b$ and $c$ have a sum of 114 and a product of 46656 . If $b=a r$ and $c=a r^{2}$ for some real number $r$, then the value of $a+c$ is
(A) 78
(B) 76
(C) 24
(D) 54
(E) 36

## Part C: Each correct answer is worth 8.