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Finding the Third Proportional to 36,162 and 80,624

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Solution

The third proportional to 36,162 and 80,624 is: 179,753.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,162 : 80,624 = 80,624 : x
  2. Step 2: Convert to fraction form
    36,162/80,624 = 80,624/x
  3. Step 3: Cross multiply
    36,162x = 80,624 × 80,624
  4. Step 4: Simplify right side
    36,162x = 6,500,229,376
  5. Step 5: Solve for x
    x = 6,500,229,376/36,162
  6. Step 6: Final answer
    x = 179,753.04

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.