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Finding the Third Proportional to 125,624 and 273,802

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Solution

The third proportional to 125,624 and 273,802 is: 596,761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,624 : 273,802 = 273,802 : x
  2. Step 2: Convert to fraction form
    125,624/273,802 = 273,802/x
  3. Step 3: Cross multiply
    125,624x = 273,802 × 273,802
  4. Step 4: Simplify right side
    125,624x = 74,967,535,204
  5. Step 5: Solve for x
    x = 74,967,535,204/125,624
  6. Step 6: Final answer
    x = 596,761.25

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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.