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Finding the Third Proportional to 85,961 and 188,860

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Solution

The third proportional to 85,961 and 188,860 is: 414,933.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,961 : 188,860 = 188,860 : x
  2. Step 2: Convert to fraction form
    85,961/188,860 = 188,860/x
  3. Step 3: Cross multiply
    85,961x = 188,860 × 188,860
  4. Step 4: Simplify right side
    85,961x = 35,668,099,600
  5. Step 5: Solve for x
    x = 35,668,099,600/85,961
  6. Step 6: Final answer
    x = 414,933.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.