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Finding the Third Proportional to 87,469 and 191,750

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Solution

The third proportional to 87,469 and 191,750 is: 420,355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,469 : 191,750 = 191,750 : x
  2. Step 2: Convert to fraction form
    87,469/191,750 = 191,750/x
  3. Step 3: Cross multiply
    87,469x = 191,750 × 191,750
  4. Step 4: Simplify right side
    87,469x = 36,768,062,500
  5. Step 5: Solve for x
    x = 36,768,062,500/87,469
  6. Step 6: Final answer
    x = 420,355.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.