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Finding the Third Proportional to 90,181 and 140,183.50

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Solution

The third proportional to 90,181 and 140,183.50 is: 217,910.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,181 : 140,183.50 = 140,183.50 : x
  2. Step 2: Convert to fraction form
    90,181/140,183.50 = 140,183.50/x
  3. Step 3: Cross multiply
    90,181x = 140,183.50 × 140,183.50
  4. Step 4: Simplify right side
    90,181x = 19,651,413,672.25
  5. Step 5: Solve for x
    x = 19,651,413,672.25/90,181
  6. Step 6: Final answer
    x = 217,910.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.