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Finding the Third Proportional to 36,166 and 74,092

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Solution

The third proportional to 36,166 and 74,092 is: 151,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,166 : 74,092 = 74,092 : x
  2. Step 2: Convert to fraction form
    36,166/74,092 = 74,092/x
  3. Step 3: Cross multiply
    36,166x = 74,092 × 74,092
  4. Step 4: Simplify right side
    36,166x = 5,489,624,464
  5. Step 5: Solve for x
    x = 5,489,624,464/36,166
  6. Step 6: Final answer
    x = 151,789.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.