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Finding the Third Proportional to 76,193 and 164,049

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Solution

The third proportional to 76,193 and 164,049 is: 353,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,193 : 164,049 = 164,049 : x
  2. Step 2: Convert to fraction form
    76,193/164,049 = 164,049/x
  3. Step 3: Cross multiply
    76,193x = 164,049 × 164,049
  4. Step 4: Simplify right side
    76,193x = 26,912,074,401
  5. Step 5: Solve for x
    x = 26,912,074,401/76,193
  6. Step 6: Final answer
    x = 353,209.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.