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Finding the Third Proportional to 90,086 and 140,116

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Solution

The third proportional to 90,086 and 140,116 is: 217,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,086 : 140,116 = 140,116 : x
  2. Step 2: Convert to fraction form
    90,086/140,116 = 140,116/x
  3. Step 3: Cross multiply
    90,086x = 140,116 × 140,116
  4. Step 4: Simplify right side
    90,086x = 19,632,493,456
  5. Step 5: Solve for x
    x = 19,632,493,456/90,086
  6. Step 6: Final answer
    x = 217,930.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.