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Finding the Third Proportional to 57,924 and 126,930

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Solution

The third proportional to 57,924 and 126,930 is: 278,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,924 : 126,930 = 126,930 : x
  2. Step 2: Convert to fraction form
    57,924/126,930 = 126,930/x
  3. Step 3: Cross multiply
    57,924x = 126,930 × 126,930
  4. Step 4: Simplify right side
    57,924x = 16,111,224,900
  5. Step 5: Solve for x
    x = 16,111,224,900/57,924
  6. Step 6: Final answer
    x = 278,144.20

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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.