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Finding the Third Proportional to 49,888 and 110,850

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Solution

The third proportional to 49,888 and 110,850 is: 246,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,888 : 110,850 = 110,850 : x
  2. Step 2: Convert to fraction form
    49,888/110,850 = 110,850/x
  3. Step 3: Cross multiply
    49,888x = 110,850 × 110,850
  4. Step 4: Simplify right side
    49,888x = 12,287,722,500
  5. Step 5: Solve for x
    x = 12,287,722,500/49,888
  6. Step 6: Final answer
    x = 246,306.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.