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Finding the Third Proportional to 57,930 and 126,933

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Solution

The third proportional to 57,930 and 126,933 is: 278,128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,930 : 126,933 = 126,933 : x
  2. Step 2: Convert to fraction form
    57,930/126,933 = 126,933/x
  3. Step 3: Cross multiply
    57,930x = 126,933 × 126,933
  4. Step 4: Simplify right side
    57,930x = 16,111,986,489
  5. Step 5: Solve for x
    x = 16,111,986,489/57,930
  6. Step 6: Final answer
    x = 278,128.54

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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.