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Finding the Third Proportional to 57,877 and 126,832

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Solution

The third proportional to 57,877 and 126,832 is: 277,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,877 : 126,832 = 126,832 : x
  2. Step 2: Convert to fraction form
    57,877/126,832 = 126,832/x
  3. Step 3: Cross multiply
    57,877x = 126,832 × 126,832
  4. Step 4: Simplify right side
    57,877x = 16,086,356,224
  5. Step 5: Solve for x
    x = 16,086,356,224/57,877
  6. Step 6: Final answer
    x = 277,940.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.