Finding the Third Proportional to 77,616 and 117,882
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Solution
The third proportional to 77,616 and 117,882 is: 179,037.39
Step by Step Solution
- Step 1: Write the proportion equation
77,616 : 117,882 = 117,882 : x - Step 2: Convert to fraction form
77,616/117,882 = 117,882/x - Step 3: Cross multiply
77,616x = 117,882 × 117,882 - Step 4: Simplify right side
77,616x = 13,896,165,924 - Step 5: Solve for x
x = 13,896,165,924/77,616 - Step 6: Final answer
x = 179,037.39
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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.