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Finding the Third Proportional to 39,961 and 86,149

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Solution

The third proportional to 39,961 and 86,149 is: 185,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,961 : 86,149 = 86,149 : x
  2. Step 2: Convert to fraction form
    39,961/86,149 = 86,149/x
  3. Step 3: Cross multiply
    39,961x = 86,149 × 86,149
  4. Step 4: Simplify right side
    39,961x = 7,421,650,201
  5. Step 5: Solve for x
    x = 7,421,650,201/39,961
  6. Step 6: Final answer
    x = 185,722.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.