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Finding the Third Proportional to 49,768.50 and 109,245

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Solution

The third proportional to 49,768.50 and 109,245 is: 239,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,768.50 : 109,245 = 109,245 : x
  2. Step 2: Convert to fraction form
    49,768.50/109,245 = 109,245/x
  3. Step 3: Cross multiply
    49,768.50x = 109,245 × 109,245
  4. Step 4: Simplify right side
    49,768.50x = 11,934,470,025
  5. Step 5: Solve for x
    x = 11,934,470,025/49,768.50
  6. Step 6: Final answer
    x = 239,799.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.