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Finding the Third Proportional to 39,650 and 86,212

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Solution

The third proportional to 39,650 and 86,212 is: 187,452.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,650 : 86,212 = 86,212 : x
  2. Step 2: Convert to fraction form
    39,650/86,212 = 86,212/x
  3. Step 3: Cross multiply
    39,650x = 86,212 × 86,212
  4. Step 4: Simplify right side
    39,650x = 7,432,508,944
  5. Step 5: Solve for x
    x = 7,432,508,944/39,650
  6. Step 6: Final answer
    x = 187,452.94

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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.