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Finding the Third Proportional to 79,736 and 108,338

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Solution

The third proportional to 79,736 and 108,338 is: 147,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,736 : 108,338 = 108,338 : x
  2. Step 2: Convert to fraction form
    79,736/108,338 = 108,338/x
  3. Step 3: Cross multiply
    79,736x = 108,338 × 108,338
  4. Step 4: Simplify right side
    79,736x = 11,737,122,244
  5. Step 5: Solve for x
    x = 11,737,122,244/79,736
  6. Step 6: Final answer
    x = 147,199.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.