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Finding the Third Proportional to 54,072.56 and 80,660.81

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Solution

The third proportional to 54,072.56 and 80,660.81 is: 120,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,072.56 : 80,660.81 = 80,660.81 : x
  2. Step 2: Convert to fraction form
    54,072.56/80,660.81 = 80,660.81/x
  3. Step 3: Cross multiply
    54,072.56x = 80,660.81 × 80,660.81
  4. Step 4: Simplify right side
    54,072.56x = 6,506,166,673.16
  5. Step 5: Solve for x
    x = 6,506,166,673.16/54,072.56
  6. Step 6: Final answer
    x = 120,322.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.