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Finding the Third Proportional to 75,966 and 122,049

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Solution

The third proportional to 75,966 and 122,049 is: 196,087.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,966 : 122,049 = 122,049 : x
  2. Step 2: Convert to fraction form
    75,966/122,049 = 122,049/x
  3. Step 3: Cross multiply
    75,966x = 122,049 × 122,049
  4. Step 4: Simplify right side
    75,966x = 14,895,958,401
  5. Step 5: Solve for x
    x = 14,895,958,401/75,966
  6. Step 6: Final answer
    x = 196,087.18

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.