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Finding the Third Proportional to 126,229 and 272,141

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Solution

The third proportional to 126,229 and 272,141 is: 586,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,229 : 272,141 = 272,141 : x
  2. Step 2: Convert to fraction form
    126,229/272,141 = 272,141/x
  3. Step 3: Cross multiply
    126,229x = 272,141 × 272,141
  4. Step 4: Simplify right side
    126,229x = 74,060,723,881
  5. Step 5: Solve for x
    x = 74,060,723,881/126,229
  6. Step 6: Final answer
    x = 586,717.19

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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.