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Finding the Third Proportional to 87,591.38 and 192,138.75

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Solution

The third proportional to 87,591.38 and 192,138.75 is: 421,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,591.38 : 192,138.75 = 192,138.75 : x
  2. Step 2: Convert to fraction form
    87,591.38/192,138.75 = 192,138.75/x
  3. Step 3: Cross multiply
    87,591.38x = 192,138.75 × 192,138.75
  4. Step 4: Simplify right side
    87,591.38x = 36,917,299,251.56
  5. Step 5: Solve for x
    x = 36,917,299,251.56/87,591.38
  6. Step 6: Final answer
    x = 421,471.85

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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.