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Finding the Third Proportional to 59,867 and 79,885

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Solution

The third proportional to 59,867 and 79,885 is: 106,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,867 : 79,885 = 79,885 : x
  2. Step 2: Convert to fraction form
    59,867/79,885 = 79,885/x
  3. Step 3: Cross multiply
    59,867x = 79,885 × 79,885
  4. Step 4: Simplify right side
    59,867x = 6,381,613,225
  5. Step 5: Solve for x
    x = 6,381,613,225/59,867
  6. Step 6: Final answer
    x = 106,596.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.