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Finding the Third Proportional to 50,995 and 112,183

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Solution

The third proportional to 50,995 and 112,183 is: 246,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,995 : 112,183 = 112,183 : x
  2. Step 2: Convert to fraction form
    50,995/112,183 = 112,183/x
  3. Step 3: Cross multiply
    50,995x = 112,183 × 112,183
  4. Step 4: Simplify right side
    50,995x = 12,585,025,489
  5. Step 5: Solve for x
    x = 12,585,025,489/50,995
  6. Step 6: Final answer
    x = 246,789.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.