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Finding the Third Proportional to 39,170 and 86,116

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Solution

The third proportional to 39,170 and 86,116 is: 189,327.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,170 : 86,116 = 86,116 : x
  2. Step 2: Convert to fraction form
    39,170/86,116 = 86,116/x
  3. Step 3: Cross multiply
    39,170x = 86,116 × 86,116
  4. Step 4: Simplify right side
    39,170x = 7,415,965,456
  5. Step 5: Solve for x
    x = 7,415,965,456/39,170
  6. Step 6: Final answer
    x = 189,327.69

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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.