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Finding the Third Proportional to 36,443 and 79,204

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Solution

The third proportional to 36,443 and 79,204 is: 172,139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,443 : 79,204 = 79,204 : x
  2. Step 2: Convert to fraction form
    36,443/79,204 = 79,204/x
  3. Step 3: Cross multiply
    36,443x = 79,204 × 79,204
  4. Step 4: Simplify right side
    36,443x = 6,273,273,616
  5. Step 5: Solve for x
    x = 6,273,273,616/36,443
  6. Step 6: Final answer
    x = 172,139.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.