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Finding the Third Proportional to 90,193 and 140,199

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Solution

The third proportional to 90,193 and 140,199 is: 217,929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,193 : 140,199 = 140,199 : x
  2. Step 2: Convert to fraction form
    90,193/140,199 = 140,199/x
  3. Step 3: Cross multiply
    90,193x = 140,199 × 140,199
  4. Step 4: Simplify right side
    90,193x = 19,655,759,601
  5. Step 5: Solve for x
    x = 19,655,759,601/90,193
  6. Step 6: Final answer
    x = 217,929.99

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Why These Related Problems?

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