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Finding the Third Proportional to 36,758 and 80,176

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Solution

The third proportional to 36,758 and 80,176 is: 174,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,758 : 80,176 = 80,176 : x
  2. Step 2: Convert to fraction form
    36,758/80,176 = 80,176/x
  3. Step 3: Cross multiply
    36,758x = 80,176 × 80,176
  4. Step 4: Simplify right side
    36,758x = 6,428,190,976
  5. Step 5: Solve for x
    x = 6,428,190,976/36,758
  6. Step 6: Final answer
    x = 174,878.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.