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Finding the Third Proportional to 75,892.13 and 167,065.13

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Solution

The third proportional to 75,892.13 and 167,065.13 is: 367,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,892.13 : 167,065.13 = 167,065.13 : x
  2. Step 2: Convert to fraction form
    75,892.13/167,065.13 = 167,065.13/x
  3. Step 3: Cross multiply
    75,892.13x = 167,065.13 × 167,065.13
  4. Step 4: Simplify right side
    75,892.13x = 27,910,755,991.27
  5. Step 5: Solve for x
    x = 27,910,755,991.27/75,892.13
  6. Step 6: Final answer
    x = 367,768.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.