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Finding the Third Proportional to 111,810 and 166,193

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Solution

The third proportional to 111,810 and 166,193 is: 247,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,810 : 166,193 = 166,193 : x
  2. Step 2: Convert to fraction form
    111,810/166,193 = 166,193/x
  3. Step 3: Cross multiply
    111,810x = 166,193 × 166,193
  4. Step 4: Simplify right side
    111,810x = 27,620,113,249
  5. Step 5: Solve for x
    x = 27,620,113,249/111,810
  6. Step 6: Final answer
    x = 247,027.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.