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Finding the Third Proportional to 36,696 and 86,556

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Solution

The third proportional to 36,696 and 86,556 is: 204,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,696 : 86,556 = 86,556 : x
  2. Step 2: Convert to fraction form
    36,696/86,556 = 86,556/x
  3. Step 3: Cross multiply
    36,696x = 86,556 × 86,556
  4. Step 4: Simplify right side
    36,696x = 7,491,941,136
  5. Step 5: Solve for x
    x = 7,491,941,136/36,696
  6. Step 6: Final answer
    x = 204,162.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.