Finding the Third Proportional to 86,537 and 185,602
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Solution
The third proportional to 86,537 and 185,602 is: 398,073.68
Step by Step Solution
- Step 1: Write the proportion equation
86,537 : 185,602 = 185,602 : x - Step 2: Convert to fraction form
86,537/185,602 = 185,602/x - Step 3: Cross multiply
86,537x = 185,602 × 185,602 - Step 4: Simplify right side
86,537x = 34,448,102,404 - Step 5: Solve for x
x = 34,448,102,404/86,537 - Step 6: Final answer
x = 398,073.68
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.