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Finding the Third Proportional to 54,872.44 and 80,212.78

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Solution

The third proportional to 54,872.44 and 80,212.78 is: 117,255.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,872.44 : 80,212.78 = 80,212.78 : x
  2. Step 2: Convert to fraction form
    54,872.44/80,212.78 = 80,212.78/x
  3. Step 3: Cross multiply
    54,872.44x = 80,212.78 × 80,212.78
  4. Step 4: Simplify right side
    54,872.44x = 6,434,090,275.86
  5. Step 5: Solve for x
    x = 6,434,090,275.86/54,872.44
  6. Step 6: Final answer
    x = 117,255.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.