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Finding the Third Proportional to 48,331 and 106,469

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Solution

The third proportional to 48,331 and 106,469 is: 234,541.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,331 : 106,469 = 106,469 : x
  2. Step 2: Convert to fraction form
    48,331/106,469 = 106,469/x
  3. Step 3: Cross multiply
    48,331x = 106,469 × 106,469
  4. Step 4: Simplify right side
    48,331x = 11,335,647,961
  5. Step 5: Solve for x
    x = 11,335,647,961/48,331
  6. Step 6: Final answer
    x = 234,541.97

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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.