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Finding the Third Proportional to 57,967 and 122,161

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Solution

The third proportional to 57,967 and 122,161 is: 257,444.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,967 : 122,161 = 122,161 : x
  2. Step 2: Convert to fraction form
    57,967/122,161 = 122,161/x
  3. Step 3: Cross multiply
    57,967x = 122,161 × 122,161
  4. Step 4: Simplify right side
    57,967x = 14,923,309,921
  5. Step 5: Solve for x
    x = 14,923,309,921/57,967
  6. Step 6: Final answer
    x = 257,444.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.