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Finding the Third Proportional to 126,115.31 and 272,836.69

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Solution

The third proportional to 126,115.31 and 272,836.69 is: 590,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,115.31 : 272,836.69 = 272,836.69 : x
  2. Step 2: Convert to fraction form
    126,115.31/272,836.69 = 272,836.69/x
  3. Step 3: Cross multiply
    126,115.31x = 272,836.69 × 272,836.69
  4. Step 4: Simplify right side
    126,115.31x = 74,439,858,045.97
  5. Step 5: Solve for x
    x = 74,439,858,045.97/126,115.31
  6. Step 6: Final answer
    x = 590,252.34

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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.