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Finding the Third Proportional to 109,919 and 164,806

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Solution

The third proportional to 109,919 and 164,806 is: 247,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,919 : 164,806 = 164,806 : x
  2. Step 2: Convert to fraction form
    109,919/164,806 = 164,806/x
  3. Step 3: Cross multiply
    109,919x = 164,806 × 164,806
  4. Step 4: Simplify right side
    109,919x = 27,161,017,636
  5. Step 5: Solve for x
    x = 27,161,017,636/109,919
  6. Step 6: Final answer
    x = 247,100.30

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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.