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Finding the Third Proportional to 125.09 and 267.26

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Solution

The third proportional to 125.09 and 267.26 is: 571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.09 : 267.26 = 267.26 : x
  2. Step 2: Convert to fraction form
    125.09/267.26 = 267.26/x
  3. Step 3: Cross multiply
    125.09x = 267.26 × 267.26
  4. Step 4: Simplify right side
    125.09x = 71,426.74
  5. Step 5: Solve for x
    x = 71,426.74/125.09
  6. Step 6: Final answer
    x = 571.02

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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.