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Finding the Third Proportional to 87,781 and 194,542

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Solution

The third proportional to 87,781 and 194,542 is: 431,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,781 : 194,542 = 194,542 : x
  2. Step 2: Convert to fraction form
    87,781/194,542 = 194,542/x
  3. Step 3: Cross multiply
    87,781x = 194,542 × 194,542
  4. Step 4: Simplify right side
    87,781x = 37,846,589,764
  5. Step 5: Solve for x
    x = 37,846,589,764/87,781
  6. Step 6: Final answer
    x = 431,147.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.