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Finding the Third Proportional to 79,865 and 119,799

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Solution

The third proportional to 79,865 and 119,799 is: 179,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,865 : 119,799 = 119,799 : x
  2. Step 2: Convert to fraction form
    79,865/119,799 = 119,799/x
  3. Step 3: Cross multiply
    79,865x = 119,799 × 119,799
  4. Step 4: Simplify right side
    79,865x = 14,351,800,401
  5. Step 5: Solve for x
    x = 14,351,800,401/79,865
  6. Step 6: Final answer
    x = 179,700.75

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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.