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Finding the Third Proportional to 126,261.91 and 272,553.61

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Solution

The third proportional to 126,261.91 and 272,553.61 is: 588,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,261.91 : 272,553.61 = 272,553.61 : x
  2. Step 2: Convert to fraction form
    126,261.91/272,553.61 = 272,553.61/x
  3. Step 3: Cross multiply
    126,261.91x = 272,553.61 × 272,553.61
  4. Step 4: Simplify right side
    126,261.91x = 74,285,469,983.34
  5. Step 5: Solve for x
    x = 74,285,469,983.34/126,261.91
  6. Step 6: Final answer
    x = 588,344.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.