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Finding the Third Proportional to 108,743 and 239,561

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Solution

The third proportional to 108,743 and 239,561 is: 527,753.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,743 : 239,561 = 239,561 : x
  2. Step 2: Convert to fraction form
    108,743/239,561 = 239,561/x
  3. Step 3: Cross multiply
    108,743x = 239,561 × 239,561
  4. Step 4: Simplify right side
    108,743x = 57,389,472,721
  5. Step 5: Solve for x
    x = 57,389,472,721/108,743
  6. Step 6: Final answer
    x = 527,753.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.