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Finding the Third Proportional to 124,874 and 267,613

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Solution

The third proportional to 124,874 and 267,613 is: 573,511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,874 : 267,613 = 267,613 : x
  2. Step 2: Convert to fraction form
    124,874/267,613 = 267,613/x
  3. Step 3: Cross multiply
    124,874x = 267,613 × 267,613
  4. Step 4: Simplify right side
    124,874x = 71,616,717,769
  5. Step 5: Solve for x
    x = 71,616,717,769/124,874
  6. Step 6: Final answer
    x = 573,511.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.