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Finding the Third Proportional to 57,188 and 126,012

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Solution

The third proportional to 57,188 and 126,012 is: 277,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,188 : 126,012 = 126,012 : x
  2. Step 2: Convert to fraction form
    57,188/126,012 = 126,012/x
  3. Step 3: Cross multiply
    57,188x = 126,012 × 126,012
  4. Step 4: Simplify right side
    57,188x = 15,879,024,144
  5. Step 5: Solve for x
    x = 15,879,024,144/57,188
  6. Step 6: Final answer
    x = 277,663.57

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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.