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Finding the Third Proportional to 39,667 and 86,246

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Solution

The third proportional to 39,667 and 86,246 is: 187,520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,667 : 86,246 = 86,246 : x
  2. Step 2: Convert to fraction form
    39,667/86,246 = 86,246/x
  3. Step 3: Cross multiply
    39,667x = 86,246 × 86,246
  4. Step 4: Simplify right side
    39,667x = 7,438,372,516
  5. Step 5: Solve for x
    x = 7,438,372,516/39,667
  6. Step 6: Final answer
    x = 187,520.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.