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Finding the Third Proportional to 39,972 and 86,170

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Solution

The third proportional to 39,972 and 86,170 is: 185,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,972 : 86,170 = 86,170 : x
  2. Step 2: Convert to fraction form
    39,972/86,170 = 86,170/x
  3. Step 3: Cross multiply
    39,972x = 86,170 × 86,170
  4. Step 4: Simplify right side
    39,972x = 7,425,268,900
  5. Step 5: Solve for x
    x = 7,425,268,900/39,972
  6. Step 6: Final answer
    x = 185,761.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.