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Finding the Third Proportional to 54,000.56 and 81,744.75

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Solution

The third proportional to 54,000.56 and 81,744.75 is: 123,743.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,000.56 : 81,744.75 = 81,744.75 : x
  2. Step 2: Convert to fraction form
    54,000.56/81,744.75 = 81,744.75/x
  3. Step 3: Cross multiply
    54,000.56x = 81,744.75 × 81,744.75
  4. Step 4: Simplify right side
    54,000.56x = 6,682,204,152.56
  5. Step 5: Solve for x
    x = 6,682,204,152.56/54,000.56
  6. Step 6: Final answer
    x = 123,743.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.