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Finding the Third Proportional to 54,212.31 and 117,474.57

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Solution

The third proportional to 54,212.31 and 117,474.57 is: 254,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,212.31 : 117,474.57 = 117,474.57 : x
  2. Step 2: Convert to fraction form
    54,212.31/117,474.57 = 117,474.57/x
  3. Step 3: Cross multiply
    54,212.31x = 117,474.57 × 117,474.57
  4. Step 4: Simplify right side
    54,212.31x = 13,800,275,587.88
  5. Step 5: Solve for x
    x = 13,800,275,587.88/54,212.31
  6. Step 6: Final answer
    x = 254,559.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.