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Finding the Third Proportional to 62,331 and 133,419

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Solution

The third proportional to 62,331 and 133,419 is: 285,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,331 : 133,419 = 133,419 : x
  2. Step 2: Convert to fraction form
    62,331/133,419 = 133,419/x
  3. Step 3: Cross multiply
    62,331x = 133,419 × 133,419
  4. Step 4: Simplify right side
    62,331x = 17,800,629,561
  5. Step 5: Solve for x
    x = 17,800,629,561/62,331
  6. Step 6: Final answer
    x = 285,582.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.