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Finding the Third Proportional to 37,695 and 79,266

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Solution

The third proportional to 37,695 and 79,266 is: 166,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,695 : 79,266 = 79,266 : x
  2. Step 2: Convert to fraction form
    37,695/79,266 = 79,266/x
  3. Step 3: Cross multiply
    37,695x = 79,266 × 79,266
  4. Step 4: Simplify right side
    37,695x = 6,283,098,756
  5. Step 5: Solve for x
    x = 6,283,098,756/37,695
  6. Step 6: Final answer
    x = 166,682.55

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