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Finding the Third Proportional to 125.31 and 267.88

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Solution

The third proportional to 125.31 and 267.88 is: 572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.31 : 267.88 = 267.88 : x
  2. Step 2: Convert to fraction form
    125.31/267.88 = 267.88/x
  3. Step 3: Cross multiply
    125.31x = 267.88 × 267.88
  4. Step 4: Simplify right side
    125.31x = 71,757.02
  5. Step 5: Solve for x
    x = 71,757.02/125.31
  6. Step 6: Final answer
    x = 572.62

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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.