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Finding the Third Proportional to 57,631.50 and 89,003.25

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Solution

The third proportional to 57,631.50 and 89,003.25 is: 137,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,631.50 : 89,003.25 = 89,003.25 : x
  2. Step 2: Convert to fraction form
    57,631.50/89,003.25 = 89,003.25/x
  3. Step 3: Cross multiply
    57,631.50x = 89,003.25 × 89,003.25
  4. Step 4: Simplify right side
    57,631.50x = 7,921,578,510.56
  5. Step 5: Solve for x
    x = 7,921,578,510.56/57,631.50
  6. Step 6: Final answer
    x = 137,452.24

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.