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Finding the Third Proportional to 71,414 and 169,193

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Solution

The third proportional to 71,414 and 169,193 is: 400,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,414 : 169,193 = 169,193 : x
  2. Step 2: Convert to fraction form
    71,414/169,193 = 169,193/x
  3. Step 3: Cross multiply
    71,414x = 169,193 × 169,193
  4. Step 4: Simplify right side
    71,414x = 28,626,271,249
  5. Step 5: Solve for x
    x = 28,626,271,249/71,414
  6. Step 6: Final answer
    x = 400,849.57

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.