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Finding the Third Proportional to 90,086 and 140,119

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Solution

The third proportional to 90,086 and 140,119 is: 217,939.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,086 : 140,119 = 140,119 : x
  2. Step 2: Convert to fraction form
    90,086/140,119 = 140,119/x
  3. Step 3: Cross multiply
    90,086x = 140,119 × 140,119
  4. Step 4: Simplify right side
    90,086x = 19,633,334,161
  5. Step 5: Solve for x
    x = 19,633,334,161/90,086
  6. Step 6: Final answer
    x = 217,939.90

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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.