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Finding the Third Proportional to 85,517.38 and 134,150.75

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Solution

The third proportional to 85,517.38 and 134,150.75 is: 210,441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,517.38 : 134,150.75 = 134,150.75 : x
  2. Step 2: Convert to fraction form
    85,517.38/134,150.75 = 134,150.75/x
  3. Step 3: Cross multiply
    85,517.38x = 134,150.75 × 134,150.75
  4. Step 4: Simplify right side
    85,517.38x = 17,996,423,725.56
  5. Step 5: Solve for x
    x = 17,996,423,725.56/85,517.38
  6. Step 6: Final answer
    x = 210,441.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.