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Finding the Third Proportional to 36,350 and 78,268

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Solution

The third proportional to 36,350 and 78,268 is: 168,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,350 : 78,268 = 78,268 : x
  2. Step 2: Convert to fraction form
    36,350/78,268 = 78,268/x
  3. Step 3: Cross multiply
    36,350x = 78,268 × 78,268
  4. Step 4: Simplify right side
    36,350x = 6,125,879,824
  5. Step 5: Solve for x
    x = 6,125,879,824/36,350
  6. Step 6: Final answer
    x = 168,524.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.