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Finding the Third Proportional to 85,809.38 and 123,793.31

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Solution

The third proportional to 85,809.38 and 123,793.31 is: 178,591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,809.38 : 123,793.31 = 123,793.31 : x
  2. Step 2: Convert to fraction form
    85,809.38/123,793.31 = 123,793.31/x
  3. Step 3: Cross multiply
    85,809.38x = 123,793.31 × 123,793.31
  4. Step 4: Simplify right side
    85,809.38x = 15,324,784,219.72
  5. Step 5: Solve for x
    x = 15,324,784,219.72/85,809.38
  6. Step 6: Final answer
    x = 178,591.02

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.