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Finding the Third Proportional to 85,067 and 183,134

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Solution

The third proportional to 85,067 and 183,134 is: 394,254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,067 : 183,134 = 183,134 : x
  2. Step 2: Convert to fraction form
    85,067/183,134 = 183,134/x
  3. Step 3: Cross multiply
    85,067x = 183,134 × 183,134
  4. Step 4: Simplify right side
    85,067x = 33,538,061,956
  5. Step 5: Solve for x
    x = 33,538,061,956/85,067
  6. Step 6: Final answer
    x = 394,254.67

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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.