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Finding the Third Proportional to 85,593.56 and 133,062.47

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Solution

The third proportional to 85,593.56 and 133,062.47 is: 206,856.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,593.56 : 133,062.47 = 133,062.47 : x
  2. Step 2: Convert to fraction form
    85,593.56/133,062.47 = 133,062.47/x
  3. Step 3: Cross multiply
    85,593.56x = 133,062.47 × 133,062.47
  4. Step 4: Simplify right side
    85,593.56x = 17,705,620,589.84
  5. Step 5: Solve for x
    x = 17,705,620,589.84/85,593.56
  6. Step 6: Final answer
    x = 206,856.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.