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Finding the Third Proportional to 125,414 and 267,837

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Solution

The third proportional to 125,414 and 267,837 is: 571,998.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,414 : 267,837 = 267,837 : x
  2. Step 2: Convert to fraction form
    125,414/267,837 = 267,837/x
  3. Step 3: Cross multiply
    125,414x = 267,837 × 267,837
  4. Step 4: Simplify right side
    125,414x = 71,736,658,569
  5. Step 5: Solve for x
    x = 71,736,658,569/125,414
  6. Step 6: Final answer
    x = 571,998.81

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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.