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Finding the Third Proportional to 38,178 and 80,244

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Solution

The third proportional to 38,178 and 80,244 is: 168,659.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,178 : 80,244 = 80,244 : x
  2. Step 2: Convert to fraction form
    38,178/80,244 = 80,244/x
  3. Step 3: Cross multiply
    38,178x = 80,244 × 80,244
  4. Step 4: Simplify right side
    38,178x = 6,439,099,536
  5. Step 5: Solve for x
    x = 6,439,099,536/38,178
  6. Step 6: Final answer
    x = 168,659.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.