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Finding the Third Proportional to 57,615.75 and 89,016.75

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Solution

The third proportional to 57,615.75 and 89,016.75 is: 137,531.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,615.75 : 89,016.75 = 89,016.75 : x
  2. Step 2: Convert to fraction form
    57,615.75/89,016.75 = 89,016.75/x
  3. Step 3: Cross multiply
    57,615.75x = 89,016.75 × 89,016.75
  4. Step 4: Simplify right side
    57,615.75x = 7,923,981,780.56
  5. Step 5: Solve for x
    x = 7,923,981,780.56/57,615.75
  6. Step 6: Final answer
    x = 137,531.52

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