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Finding the Third Proportional to 125,384 and 273,624

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Solution

The third proportional to 125,384 and 273,624 is: 597,126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,384 : 273,624 = 273,624 : x
  2. Step 2: Convert to fraction form
    125,384/273,624 = 273,624/x
  3. Step 3: Cross multiply
    125,384x = 273,624 × 273,624
  4. Step 4: Simplify right side
    125,384x = 74,870,093,376
  5. Step 5: Solve for x
    x = 74,870,093,376/125,384
  6. Step 6: Final answer
    x = 597,126.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.