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Finding the Third Proportional to 54,606 and 73,380.75

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Solution

The third proportional to 54,606 and 73,380.75 is: 98,610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,606 : 73,380.75 = 73,380.75 : x
  2. Step 2: Convert to fraction form
    54,606/73,380.75 = 73,380.75/x
  3. Step 3: Cross multiply
    54,606x = 73,380.75 × 73,380.75
  4. Step 4: Simplify right side
    54,606x = 5,384,734,470.56
  5. Step 5: Solve for x
    x = 5,384,734,470.56/54,606
  6. Step 6: Final answer
    x = 98,610.67

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.