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Finding the Third Proportional to 83,626 and 180,883

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Solution

The third proportional to 83,626 and 180,883 is: 391,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,626 : 180,883 = 180,883 : x
  2. Step 2: Convert to fraction form
    83,626/180,883 = 180,883/x
  3. Step 3: Cross multiply
    83,626x = 180,883 × 180,883
  4. Step 4: Simplify right side
    83,626x = 32,718,659,689
  5. Step 5: Solve for x
    x = 32,718,659,689/83,626
  6. Step 6: Final answer
    x = 391,249.85

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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.