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Finding the Third Proportional to 54,149.50 and 81,224.25

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Solution

The third proportional to 54,149.50 and 81,224.25 is: 121,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,149.50 : 81,224.25 = 81,224.25 : x
  2. Step 2: Convert to fraction form
    54,149.50/81,224.25 = 81,224.25/x
  3. Step 3: Cross multiply
    54,149.50x = 81,224.25 × 81,224.25
  4. Step 4: Simplify right side
    54,149.50x = 6,597,378,788.06
  5. Step 5: Solve for x
    x = 6,597,378,788.06/54,149.50
  6. Step 6: Final answer
    x = 121,836.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.