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Finding the Third Proportional to 36,192 and 78,234

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Solution

The third proportional to 36,192 and 78,234 is: 169,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,192 : 78,234 = 78,234 : x
  2. Step 2: Convert to fraction form
    36,192/78,234 = 78,234/x
  3. Step 3: Cross multiply
    36,192x = 78,234 × 78,234
  4. Step 4: Simplify right side
    36,192x = 6,120,558,756
  5. Step 5: Solve for x
    x = 6,120,558,756/36,192
  6. Step 6: Final answer
    x = 169,113.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.