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Finding the Third Proportional to 125,901 and 271,908

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Solution

The third proportional to 125,901 and 271,908 is: 587,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,901 : 271,908 = 271,908 : x
  2. Step 2: Convert to fraction form
    125,901/271,908 = 271,908/x
  3. Step 3: Cross multiply
    125,901x = 271,908 × 271,908
  4. Step 4: Simplify right side
    125,901x = 73,933,960,464
  5. Step 5: Solve for x
    x = 73,933,960,464/125,901
  6. Step 6: Final answer
    x = 587,238.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.