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Finding the Third Proportional to 36,200 and 78,232

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Solution

The third proportional to 36,200 and 78,232 is: 169,067.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,200 : 78,232 = 78,232 : x
  2. Step 2: Convert to fraction form
    36,200/78,232 = 78,232/x
  3. Step 3: Cross multiply
    36,200x = 78,232 × 78,232
  4. Step 4: Simplify right side
    36,200x = 6,120,245,824
  5. Step 5: Solve for x
    x = 6,120,245,824/36,200
  6. Step 6: Final answer
    x = 169,067.56

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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.