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Finding the Third Proportional to 109,163 and 164,151

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Solution

The third proportional to 109,163 and 164,151 is: 246,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,163 : 164,151 = 164,151 : x
  2. Step 2: Convert to fraction form
    109,163/164,151 = 164,151/x
  3. Step 3: Cross multiply
    109,163x = 164,151 × 164,151
  4. Step 4: Simplify right side
    109,163x = 26,945,550,801
  5. Step 5: Solve for x
    x = 26,945,550,801/109,163
  6. Step 6: Final answer
    x = 246,837.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.