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Finding the Third Proportional to 36,678 and 80,100

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Solution

The third proportional to 36,678 and 80,100 is: 174,928.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,678 : 80,100 = 80,100 : x
  2. Step 2: Convert to fraction form
    36,678/80,100 = 80,100/x
  3. Step 3: Cross multiply
    36,678x = 80,100 × 80,100
  4. Step 4: Simplify right side
    36,678x = 6,416,010,000
  5. Step 5: Solve for x
    x = 6,416,010,000/36,678
  6. Step 6: Final answer
    x = 174,928.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.