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Finding the Third Proportional to 57,658 and 126,667

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Solution

The third proportional to 57,658 and 126,667 is: 278,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,658 : 126,667 = 126,667 : x
  2. Step 2: Convert to fraction form
    57,658/126,667 = 126,667/x
  3. Step 3: Cross multiply
    57,658x = 126,667 × 126,667
  4. Step 4: Simplify right side
    57,658x = 16,044,528,889
  5. Step 5: Solve for x
    x = 16,044,528,889/57,658
  6. Step 6: Final answer
    x = 278,270.65

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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.