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Finding the Third Proportional to 54,766.13 and 121,431.66

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Solution

The third proportional to 54,766.13 and 121,431.66 is: 269,247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,766.13 : 121,431.66 = 121,431.66 : x
  2. Step 2: Convert to fraction form
    54,766.13/121,431.66 = 121,431.66/x
  3. Step 3: Cross multiply
    54,766.13x = 121,431.66 × 121,431.66
  4. Step 4: Simplify right side
    54,766.13x = 14,745,647,139.62
  5. Step 5: Solve for x
    x = 14,745,647,139.62/54,766.13
  6. Step 6: Final answer
    x = 269,247.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.