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Finding the Third Proportional to 109,204 and 164,163

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Solution

The third proportional to 109,204 and 164,163 is: 246,781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,204 : 164,163 = 164,163 : x
  2. Step 2: Convert to fraction form
    109,204/164,163 = 164,163/x
  3. Step 3: Cross multiply
    109,204x = 164,163 × 164,163
  4. Step 4: Simplify right side
    109,204x = 26,949,490,569
  5. Step 5: Solve for x
    x = 26,949,490,569/109,204
  6. Step 6: Final answer
    x = 246,781.17

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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.