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Finding the Third Proportional to 40,867 and 86,170

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Solution

The third proportional to 40,867 and 86,170 is: 181,693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,867 : 86,170 = 86,170 : x
  2. Step 2: Convert to fraction form
    40,867/86,170 = 86,170/x
  3. Step 3: Cross multiply
    40,867x = 86,170 × 86,170
  4. Step 4: Simplify right side
    40,867x = 7,425,268,900
  5. Step 5: Solve for x
    x = 7,425,268,900/40,867
  6. Step 6: Final answer
    x = 181,693.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.