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Finding the Third Proportional to 39,171 and 86,118

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Solution

The third proportional to 39,171 and 86,118 is: 189,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,171 : 86,118 = 86,118 : x
  2. Step 2: Convert to fraction form
    39,171/86,118 = 86,118/x
  3. Step 3: Cross multiply
    39,171x = 86,118 × 86,118
  4. Step 4: Simplify right side
    39,171x = 7,416,309,924
  5. Step 5: Solve for x
    x = 7,416,309,924/39,171
  6. Step 6: Final answer
    x = 189,331.65

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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.