Finding the Third Proportional to 77,338 and 117,627
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Solution
The third proportional to 77,338 and 117,627 is: 178,904.43
Step by Step Solution
- Step 1: Write the proportion equation
77,338 : 117,627 = 117,627 : x - Step 2: Convert to fraction form
77,338/117,627 = 117,627/x - Step 3: Cross multiply
77,338x = 117,627 × 117,627 - Step 4: Simplify right side
77,338x = 13,836,111,129 - Step 5: Solve for x
x = 13,836,111,129/77,338 - Step 6: Final answer
x = 178,904.43
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.