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Finding the Third Proportional to 40,125 and 86,675

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Solution

The third proportional to 40,125 and 86,675 is: 187,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,125 : 86,675 = 86,675 : x
  2. Step 2: Convert to fraction form
    40,125/86,675 = 86,675/x
  3. Step 3: Cross multiply
    40,125x = 86,675 × 86,675
  4. Step 4: Simplify right side
    40,125x = 7,512,555,625
  5. Step 5: Solve for x
    x = 7,512,555,625/40,125
  6. Step 6: Final answer
    x = 187,228.80

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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.