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Finding the Third Proportional to 40,231.13 and 85,659.75

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Solution

The third proportional to 40,231.13 and 85,659.75 is: 182,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,231.13 : 85,659.75 = 85,659.75 : x
  2. Step 2: Convert to fraction form
    40,231.13/85,659.75 = 85,659.75/x
  3. Step 3: Cross multiply
    40,231.13x = 85,659.75 × 85,659.75
  4. Step 4: Simplify right side
    40,231.13x = 7,337,592,770.06
  5. Step 5: Solve for x
    x = 7,337,592,770.06/40,231.13
  6. Step 6: Final answer
    x = 182,385.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.