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Finding the Third Proportional to 83,271 and 169,626

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Solution

The third proportional to 83,271 and 169,626 is: 345,534.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,271 : 169,626 = 169,626 : x
  2. Step 2: Convert to fraction form
    83,271/169,626 = 169,626/x
  3. Step 3: Cross multiply
    83,271x = 169,626 × 169,626
  4. Step 4: Simplify right side
    83,271x = 28,772,979,876
  5. Step 5: Solve for x
    x = 28,772,979,876/83,271
  6. Step 6: Final answer
    x = 345,534.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.