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Finding the Third Proportional to 127,377 and 267,147

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Solution

The third proportional to 127,377 and 267,147 is: 560,285.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,377 : 267,147 = 267,147 : x
  2. Step 2: Convert to fraction form
    127,377/267,147 = 267,147/x
  3. Step 3: Cross multiply
    127,377x = 267,147 × 267,147
  4. Step 4: Simplify right side
    127,377x = 71,367,519,609
  5. Step 5: Solve for x
    x = 71,367,519,609/127,377
  6. Step 6: Final answer
    x = 560,285.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.