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Finding the Third Proportional to 49,086 and 102,546

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Solution

The third proportional to 49,086 and 102,546 is: 214,229.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,086 : 102,546 = 102,546 : x
  2. Step 2: Convert to fraction form
    49,086/102,546 = 102,546/x
  3. Step 3: Cross multiply
    49,086x = 102,546 × 102,546
  4. Step 4: Simplify right side
    49,086x = 10,515,682,116
  5. Step 5: Solve for x
    x = 10,515,682,116/49,086
  6. Step 6: Final answer
    x = 214,229.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.