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Finding the Third Proportional to 108,741 and 239,559

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Solution

The third proportional to 108,741 and 239,559 is: 527,754.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,741 : 239,559 = 239,559 : x
  2. Step 2: Convert to fraction form
    108,741/239,559 = 239,559/x
  3. Step 3: Cross multiply
    108,741x = 239,559 × 239,559
  4. Step 4: Simplify right side
    108,741x = 57,388,514,481
  5. Step 5: Solve for x
    x = 57,388,514,481/108,741
  6. Step 6: Final answer
    x = 527,754.15

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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.