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Finding the Third Proportional to 36,842 and 80,204

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Solution

The third proportional to 36,842 and 80,204 is: 174,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,842 : 80,204 = 80,204 : x
  2. Step 2: Convert to fraction form
    36,842/80,204 = 80,204/x
  3. Step 3: Cross multiply
    36,842x = 80,204 × 80,204
  4. Step 4: Simplify right side
    36,842x = 6,432,681,616
  5. Step 5: Solve for x
    x = 6,432,681,616/36,842
  6. Step 6: Final answer
    x = 174,601.86

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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.