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Finding the Third Proportional to 57,244 and 126,116

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Solution

The third proportional to 57,244 and 126,116 is: 277,850.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,244 : 126,116 = 126,116 : x
  2. Step 2: Convert to fraction form
    57,244/126,116 = 126,116/x
  3. Step 3: Cross multiply
    57,244x = 126,116 × 126,116
  4. Step 4: Simplify right side
    57,244x = 15,905,245,456
  5. Step 5: Solve for x
    x = 15,905,245,456/57,244
  6. Step 6: Final answer
    x = 277,850.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.