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Finding the Third Proportional to 126,074 and 273,147

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Solution

The third proportional to 126,074 and 273,147 is: 591,789.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,074 : 273,147 = 273,147 : x
  2. Step 2: Convert to fraction form
    126,074/273,147 = 273,147/x
  3. Step 3: Cross multiply
    126,074x = 273,147 × 273,147
  4. Step 4: Simplify right side
    126,074x = 74,609,283,609
  5. Step 5: Solve for x
    x = 74,609,283,609/126,074
  6. Step 6: Final answer
    x = 591,789.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.