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Finding the Third Proportional to 126,227 and 272,137

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Solution

The third proportional to 126,227 and 272,137 is: 586,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,227 : 272,137 = 272,137 : x
  2. Step 2: Convert to fraction form
    126,227/272,137 = 272,137/x
  3. Step 3: Cross multiply
    126,227x = 272,137 × 272,137
  4. Step 4: Simplify right side
    126,227x = 74,058,546,769
  5. Step 5: Solve for x
    x = 74,058,546,769/126,227
  6. Step 6: Final answer
    x = 586,709.24

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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.