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Finding the Third Proportional to 54,821.25 and 120,112.31

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Solution

The third proportional to 54,821.25 and 120,112.31 is: 263,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,821.25 : 120,112.31 = 120,112.31 : x
  2. Step 2: Convert to fraction form
    54,821.25/120,112.31 = 120,112.31/x
  3. Step 3: Cross multiply
    54,821.25x = 120,112.31 × 120,112.31
  4. Step 4: Simplify right side
    54,821.25x = 14,426,967,614.10
  5. Step 5: Solve for x
    x = 14,426,967,614.10/54,821.25
  6. Step 6: Final answer
    x = 263,163.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.