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Finding the Third Proportional to 87,834 and 132,523

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Solution

The third proportional to 87,834 and 132,523 is: 199,949.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,834 : 132,523 = 132,523 : x
  2. Step 2: Convert to fraction form
    87,834/132,523 = 132,523/x
  3. Step 3: Cross multiply
    87,834x = 132,523 × 132,523
  4. Step 4: Simplify right side
    87,834x = 17,562,345,529
  5. Step 5: Solve for x
    x = 17,562,345,529/87,834
  6. Step 6: Final answer
    x = 199,949.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.