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Finding the Third Proportional to 50,369.50 and 74,162

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Solution

The third proportional to 50,369.50 and 74,162 is: 109,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,369.50 : 74,162 = 74,162 : x
  2. Step 2: Convert to fraction form
    50,369.50/74,162 = 74,162/x
  3. Step 3: Cross multiply
    50,369.50x = 74,162 × 74,162
  4. Step 4: Simplify right side
    50,369.50x = 5,500,002,244
  5. Step 5: Solve for x
    x = 5,500,002,244/50,369.50
  6. Step 6: Final answer
    x = 109,193.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.