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Finding the Third Proportional to 49,878 and 108,234

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Solution

The third proportional to 49,878 and 108,234 is: 234,865.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,878 : 108,234 = 108,234 : x
  2. Step 2: Convert to fraction form
    49,878/108,234 = 108,234/x
  3. Step 3: Cross multiply
    49,878x = 108,234 × 108,234
  4. Step 4: Simplify right side
    49,878x = 11,714,598,756
  5. Step 5: Solve for x
    x = 11,714,598,756/49,878
  6. Step 6: Final answer
    x = 234,865.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.