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Finding the Third Proportional to 109,845 and 164,767

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Solution

The third proportional to 109,845 and 164,767 is: 247,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,845 : 164,767 = 164,767 : x
  2. Step 2: Convert to fraction form
    109,845/164,767 = 164,767/x
  3. Step 3: Cross multiply
    109,845x = 164,767 × 164,767
  4. Step 4: Simplify right side
    109,845x = 27,148,164,289
  5. Step 5: Solve for x
    x = 27,148,164,289/109,845
  6. Step 6: Final answer
    x = 247,149.75

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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.