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Finding the Third Proportional to 51,608.38 and 85,412.75

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Solution

The third proportional to 51,608.38 and 85,412.75 is: 141,359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,608.38 : 85,412.75 = 85,412.75 : x
  2. Step 2: Convert to fraction form
    51,608.38/85,412.75 = 85,412.75/x
  3. Step 3: Cross multiply
    51,608.38x = 85,412.75 × 85,412.75
  4. Step 4: Simplify right side
    51,608.38x = 7,295,337,862.56
  5. Step 5: Solve for x
    x = 7,295,337,862.56/51,608.38
  6. Step 6: Final answer
    x = 141,359.57

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.