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Finding the Third Proportional to 36,923 and 80,368

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Solution

The third proportional to 36,923 and 80,368 is: 174,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,923 : 80,368 = 80,368 : x
  2. Step 2: Convert to fraction form
    36,923/80,368 = 80,368/x
  3. Step 3: Cross multiply
    36,923x = 80,368 × 80,368
  4. Step 4: Simplify right side
    36,923x = 6,459,015,424
  5. Step 5: Solve for x
    x = 6,459,015,424/36,923
  6. Step 6: Final answer
    x = 174,932.03

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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.