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Algebra Difficulty 3.0 AMC 10/12 Find the answer Canada

Three real numbers $a, b$ and $c$ have a sum of $114$ and a product of $46\,656$ . If $b = ar$ and $c = ar^2$ for some real number $r$ , then the value of $a + c$ is

(A) $78$ (B) $76$ (C) $24$ (D) $54$ (E) $36$

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