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Finding the Third Proportional to 87,331 and 162,404

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Solution

The third proportional to 87,331 and 162,404 is: 302,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,331 : 162,404 = 162,404 : x
  2. Step 2: Convert to fraction form
    87,331/162,404 = 162,404/x
  3. Step 3: Cross multiply
    87,331x = 162,404 × 162,404
  4. Step 4: Simplify right side
    87,331x = 26,375,059,216
  5. Step 5: Solve for x
    x = 26,375,059,216/87,331
  6. Step 6: Final answer
    x = 302,012.56

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.