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Finding the Third Proportional to 81,218 and 126,245

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Solution

The third proportional to 81,218 and 126,245 is: 196,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,218 : 126,245 = 126,245 : x
  2. Step 2: Convert to fraction form
    81,218/126,245 = 126,245/x
  3. Step 3: Cross multiply
    81,218x = 126,245 × 126,245
  4. Step 4: Simplify right side
    81,218x = 15,937,800,025
  5. Step 5: Solve for x
    x = 15,937,800,025/81,218
  6. Step 6: Final answer
    x = 196,234.83

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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.