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Finding the Third Proportional to 54,273.38 and 84,884.63

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Solution

The third proportional to 54,273.38 and 84,884.63 is: 132,761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,273.38 : 84,884.63 = 84,884.63 : x
  2. Step 2: Convert to fraction form
    54,273.38/84,884.63 = 84,884.63/x
  3. Step 3: Cross multiply
    54,273.38x = 84,884.63 × 84,884.63
  4. Step 4: Simplify right side
    54,273.38x = 7,205,399,561.39
  5. Step 5: Solve for x
    x = 7,205,399,561.39/54,273.38
  6. Step 6: Final answer
    x = 132,761.22

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.