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Finding the Third Proportional to 55,853.44 and 121,534.31

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Solution

The third proportional to 55,853.44 and 121,534.31 is: 264,452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,853.44 : 121,534.31 = 121,534.31 : x
  2. Step 2: Convert to fraction form
    55,853.44/121,534.31 = 121,534.31/x
  3. Step 3: Cross multiply
    55,853.44x = 121,534.31 × 121,534.31
  4. Step 4: Simplify right side
    55,853.44x = 14,770,589,114.85
  5. Step 5: Solve for x
    x = 14,770,589,114.85/55,853.44
  6. Step 6: Final answer
    x = 264,452.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.