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Finding the Third Proportional to 36,165 and 77,879

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Solution

The third proportional to 36,165 and 77,879 is: 167,707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,165 : 77,879 = 77,879 : x
  2. Step 2: Convert to fraction form
    36,165/77,879 = 77,879/x
  3. Step 3: Cross multiply
    36,165x = 77,879 × 77,879
  4. Step 4: Simplify right side
    36,165x = 6,065,138,641
  5. Step 5: Solve for x
    x = 6,065,138,641/36,165
  6. Step 6: Final answer
    x = 167,707.41

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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.