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Finding the Third Proportional to 50,515.50 and 109,767

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Solution

The third proportional to 50,515.50 and 109,767 is: 238,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,515.50 : 109,767 = 109,767 : x
  2. Step 2: Convert to fraction form
    50,515.50/109,767 = 109,767/x
  3. Step 3: Cross multiply
    50,515.50x = 109,767 × 109,767
  4. Step 4: Simplify right side
    50,515.50x = 12,048,794,289
  5. Step 5: Solve for x
    x = 12,048,794,289/50,515.50
  6. Step 6: Final answer
    x = 238,516.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.