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Finding the Third Proportional to 87,559 and 182,650

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Solution

The third proportional to 87,559 and 182,650 is: 381,011.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,559 : 182,650 = 182,650 : x
  2. Step 2: Convert to fraction form
    87,559/182,650 = 182,650/x
  3. Step 3: Cross multiply
    87,559x = 182,650 × 182,650
  4. Step 4: Simplify right side
    87,559x = 33,361,022,500
  5. Step 5: Solve for x
    x = 33,361,022,500/87,559
  6. Step 6: Final answer
    x = 381,011.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.