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Finding the Third Proportional to 57,663 and 86,495

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Solution

The third proportional to 57,663 and 86,495 is: 129,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,663 : 86,495 = 86,495 : x
  2. Step 2: Convert to fraction form
    57,663/86,495 = 86,495/x
  3. Step 3: Cross multiply
    57,663x = 86,495 × 86,495
  4. Step 4: Simplify right side
    57,663x = 7,481,385,025
  5. Step 5: Solve for x
    x = 7,481,385,025/57,663
  6. Step 6: Final answer
    x = 129,743.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.