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Finding the Third Proportional to 126,180 and 264,042

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Solution

The third proportional to 126,180 and 264,042 is: 552,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,180 : 264,042 = 264,042 : x
  2. Step 2: Convert to fraction form
    126,180/264,042 = 264,042/x
  3. Step 3: Cross multiply
    126,180x = 264,042 × 264,042
  4. Step 4: Simplify right side
    126,180x = 69,718,177,764
  5. Step 5: Solve for x
    x = 69,718,177,764/126,180
  6. Step 6: Final answer
    x = 552,529.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.