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Finding the Third Proportional to 57,893 and 126,721

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Solution

The third proportional to 57,893 and 126,721 is: 277,377.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,893 : 126,721 = 126,721 : x
  2. Step 2: Convert to fraction form
    57,893/126,721 = 126,721/x
  3. Step 3: Cross multiply
    57,893x = 126,721 × 126,721
  4. Step 4: Simplify right side
    57,893x = 16,058,211,841
  5. Step 5: Solve for x
    x = 16,058,211,841/57,893
  6. Step 6: Final answer
    x = 277,377.43

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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.