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Finding the Third Proportional to 54,825.19 and 120,121.31

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Solution

The third proportional to 54,825.19 and 120,121.31 is: 263,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,825.19 : 120,121.31 = 120,121.31 : x
  2. Step 2: Convert to fraction form
    54,825.19/120,121.31 = 120,121.31/x
  3. Step 3: Cross multiply
    54,825.19x = 120,121.31 × 120,121.31
  4. Step 4: Simplify right side
    54,825.19x = 14,429,129,716.72
  5. Step 5: Solve for x
    x = 14,429,129,716.72/54,825.19
  6. Step 6: Final answer
    x = 263,184.32

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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.