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Finding the Third Proportional to 54,425.50 and 84,065.50

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Solution

The third proportional to 54,425.50 and 84,065.50 is: 129,847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,425.50 : 84,065.50 = 84,065.50 : x
  2. Step 2: Convert to fraction form
    54,425.50/84,065.50 = 84,065.50/x
  3. Step 3: Cross multiply
    54,425.50x = 84,065.50 × 84,065.50
  4. Step 4: Simplify right side
    54,425.50x = 7,067,008,290.25
  5. Step 5: Solve for x
    x = 7,067,008,290.25/54,425.50
  6. Step 6: Final answer
    x = 129,847.37

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.