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Finding the Third Proportional to 87,569 and 133,539

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Solution

The third proportional to 87,569 and 133,539 is: 203,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,569 : 133,539 = 133,539 : x
  2. Step 2: Convert to fraction form
    87,569/133,539 = 133,539/x
  3. Step 3: Cross multiply
    87,569x = 133,539 × 133,539
  4. Step 4: Simplify right side
    87,569x = 17,832,664,521
  5. Step 5: Solve for x
    x = 17,832,664,521/87,569
  6. Step 6: Final answer
    x = 203,641.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.