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Finding the Third Proportional to 54,082.69 and 84,974.06

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Solution

The third proportional to 54,082.69 and 84,974.06 is: 133,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,082.69 : 84,974.06 = 84,974.06 : x
  2. Step 2: Convert to fraction form
    54,082.69/84,974.06 = 84,974.06/x
  3. Step 3: Cross multiply
    54,082.69x = 84,974.06 × 84,974.06
  4. Step 4: Simplify right side
    54,082.69x = 7,220,591,297.75
  5. Step 5: Solve for x
    x = 7,220,591,297.75/54,082.69
  6. Step 6: Final answer
    x = 133,510.22

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.