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Finding the Third Proportional to 54,425.50 and 84,065.38

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Solution

The third proportional to 54,425.50 and 84,065.38 is: 129,846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,425.50 : 84,065.38 = 84,065.38 : x
  2. Step 2: Convert to fraction form
    54,425.50/84,065.38 = 84,065.38/x
  3. Step 3: Cross multiply
    54,425.50x = 84,065.38 × 84,065.38
  4. Step 4: Simplify right side
    54,425.50x = 7,066,987,273.89
  5. Step 5: Solve for x
    x = 7,066,987,273.89/54,425.50
  6. Step 6: Final answer
    x = 129,846.99

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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.