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Finding the Third Proportional to 90,086 and 193,292

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Solution

The third proportional to 90,086 and 193,292 is: 414,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,086 : 193,292 = 193,292 : x
  2. Step 2: Convert to fraction form
    90,086/193,292 = 193,292/x
  3. Step 3: Cross multiply
    90,086x = 193,292 × 193,292
  4. Step 4: Simplify right side
    90,086x = 37,361,797,264
  5. Step 5: Solve for x
    x = 37,361,797,264/90,086
  6. Step 6: Final answer
    x = 414,734.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.