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Finding the Third Proportional to 87,665 and 124,045

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Solution

The third proportional to 87,665 and 124,045 is: 175,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,665 : 124,045 = 124,045 : x
  2. Step 2: Convert to fraction form
    87,665/124,045 = 124,045/x
  3. Step 3: Cross multiply
    87,665x = 124,045 × 124,045
  4. Step 4: Simplify right side
    87,665x = 15,387,162,025
  5. Step 5: Solve for x
    x = 15,387,162,025/87,665
  6. Step 6: Final answer
    x = 175,522.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.