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Finding the Third Proportional to 40,118 and 86,932

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Solution

The third proportional to 40,118 and 86,932 is: 188,373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,118 : 86,932 = 86,932 : x
  2. Step 2: Convert to fraction form
    40,118/86,932 = 86,932/x
  3. Step 3: Cross multiply
    40,118x = 86,932 × 86,932
  4. Step 4: Simplify right side
    40,118x = 7,557,172,624
  5. Step 5: Solve for x
    x = 7,557,172,624/40,118
  6. Step 6: Final answer
    x = 188,373.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.