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Finding the Third Proportional to 71,667 and 156,023.50

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Solution

The third proportional to 71,667 and 156,023.50 is: 339,672.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,667 : 156,023.50 = 156,023.50 : x
  2. Step 2: Convert to fraction form
    71,667/156,023.50 = 156,023.50/x
  3. Step 3: Cross multiply
    71,667x = 156,023.50 × 156,023.50
  4. Step 4: Simplify right side
    71,667x = 24,343,332,552.25
  5. Step 5: Solve for x
    x = 24,343,332,552.25/71,667
  6. Step 6: Final answer
    x = 339,672.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.