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Finding the Third Proportional to 36,163 and 80,626

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Solution

The third proportional to 36,163 and 80,626 is: 179,756.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,163 : 80,626 = 80,626 : x
  2. Step 2: Convert to fraction form
    36,163/80,626 = 80,626/x
  3. Step 3: Cross multiply
    36,163x = 80,626 × 80,626
  4. Step 4: Simplify right side
    36,163x = 6,500,551,876
  5. Step 5: Solve for x
    x = 6,500,551,876/36,163
  6. Step 6: Final answer
    x = 179,756.99

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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.