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Finding the Third Proportional to 38,550 and 80,178

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Solution

The third proportional to 38,550 and 80,178 is: 166,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,550 : 80,178 = 80,178 : x
  2. Step 2: Convert to fraction form
    38,550/80,178 = 80,178/x
  3. Step 3: Cross multiply
    38,550x = 80,178 × 80,178
  4. Step 4: Simplify right side
    38,550x = 6,428,511,684
  5. Step 5: Solve for x
    x = 6,428,511,684/38,550
  6. Step 6: Final answer
    x = 166,757.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.