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Finding the Third Proportional to 54,006.75 and 126,171.75

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Solution

The third proportional to 54,006.75 and 126,171.75 is: 294,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,006.75 : 126,171.75 = 126,171.75 : x
  2. Step 2: Convert to fraction form
    54,006.75/126,171.75 = 126,171.75/x
  3. Step 3: Cross multiply
    54,006.75x = 126,171.75 × 126,171.75
  4. Step 4: Simplify right side
    54,006.75x = 15,919,310,498.06
  5. Step 5: Solve for x
    x = 15,919,310,498.06/54,006.75
  6. Step 6: Final answer
    x = 294,765.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.