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Finding the Third Proportional to 57,989.67 and 135,491.48

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Solution

The third proportional to 57,989.67 and 135,491.48 is: 316,572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,989.67 : 135,491.48 = 135,491.48 : x
  2. Step 2: Convert to fraction form
    57,989.67/135,491.48 = 135,491.48/x
  3. Step 3: Cross multiply
    57,989.67x = 135,491.48 × 135,491.48
  4. Step 4: Simplify right side
    57,989.67x = 18,357,942,338.14
  5. Step 5: Solve for x
    x = 18,357,942,338.14/57,989.67
  6. Step 6: Final answer
    x = 316,572.62

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.