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Finding the Third Proportional to 50,979 and 110,161

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Solution

The third proportional to 50,979 and 110,161 is: 238,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,979 : 110,161 = 110,161 : x
  2. Step 2: Convert to fraction form
    50,979/110,161 = 110,161/x
  3. Step 3: Cross multiply
    50,979x = 110,161 × 110,161
  4. Step 4: Simplify right side
    50,979x = 12,135,445,921
  5. Step 5: Solve for x
    x = 12,135,445,921/50,979
  6. Step 6: Final answer
    x = 238,047.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.