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Finding the Third Proportional to 125,612 and 269,422

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Solution

The third proportional to 125,612 and 269,422 is: 577,876.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,612 : 269,422 = 269,422 : x
  2. Step 2: Convert to fraction form
    125,612/269,422 = 269,422/x
  3. Step 3: Cross multiply
    125,612x = 269,422 × 269,422
  4. Step 4: Simplify right side
    125,612x = 72,588,214,084
  5. Step 5: Solve for x
    x = 72,588,214,084/125,612
  6. Step 6: Final answer
    x = 577,876.43

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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.