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Finding the Third Proportional to 125,031 and 266,463

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Solution

The third proportional to 125,031 and 266,463 is: 567,879.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,031 : 266,463 = 266,463 : x
  2. Step 2: Convert to fraction form
    125,031/266,463 = 266,463/x
  3. Step 3: Cross multiply
    125,031x = 266,463 × 266,463
  4. Step 4: Simplify right side
    125,031x = 71,002,530,369
  5. Step 5: Solve for x
    x = 71,002,530,369/125,031
  6. Step 6: Final answer
    x = 567,879.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.