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Finding the Third Proportional to 39,967 and 86,167

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Solution

The third proportional to 39,967 and 86,167 is: 185,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,967 : 86,167 = 86,167 : x
  2. Step 2: Convert to fraction form
    39,967/86,167 = 86,167/x
  3. Step 3: Cross multiply
    39,967x = 86,167 × 86,167
  4. Step 4: Simplify right side
    39,967x = 7,424,751,889
  5. Step 5: Solve for x
    x = 7,424,751,889/39,967
  6. Step 6: Final answer
    x = 185,772.06

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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.