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Finding the Third Proportional to 87,522 and 96,545

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Solution

The third proportional to 87,522 and 96,545 is: 106,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,522 : 96,545 = 96,545 : x
  2. Step 2: Convert to fraction form
    87,522/96,545 = 96,545/x
  3. Step 3: Cross multiply
    87,522x = 96,545 × 96,545
  4. Step 4: Simplify right side
    87,522x = 9,320,937,025
  5. Step 5: Solve for x
    x = 9,320,937,025/87,522
  6. Step 6: Final answer
    x = 106,498.22

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.