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Finding the Third Proportional to 54,319.88 and 81,164.44

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Solution

The third proportional to 54,319.88 and 81,164.44 is: 121,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,319.88 : 81,164.44 = 81,164.44 : x
  2. Step 2: Convert to fraction form
    54,319.88/81,164.44 = 81,164.44/x
  3. Step 3: Cross multiply
    54,319.88x = 81,164.44 × 81,164.44
  4. Step 4: Simplify right side
    54,319.88x = 6,587,665,914.69
  5. Step 5: Solve for x
    x = 6,587,665,914.69/54,319.88
  6. Step 6: Final answer
    x = 121,275.42

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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.