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Finding the Third Proportional to 39,229 and 86,375

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Solution

The third proportional to 39,229 and 86,375 is: 190,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,229 : 86,375 = 86,375 : x
  2. Step 2: Convert to fraction form
    39,229/86,375 = 86,375/x
  3. Step 3: Cross multiply
    39,229x = 86,375 × 86,375
  4. Step 4: Simplify right side
    39,229x = 7,460,640,625
  5. Step 5: Solve for x
    x = 7,460,640,625/39,229
  6. Step 6: Final answer
    x = 190,181.77

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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.