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Finding the Third Proportional to 54,045 and 126,234

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Solution

The third proportional to 54,045 and 126,234 is: 294,847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,045 : 126,234 = 126,234 : x
  2. Step 2: Convert to fraction form
    54,045/126,234 = 126,234/x
  3. Step 3: Cross multiply
    54,045x = 126,234 × 126,234
  4. Step 4: Simplify right side
    54,045x = 15,935,022,756
  5. Step 5: Solve for x
    x = 15,935,022,756/54,045
  6. Step 6: Final answer
    x = 294,847.31

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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.