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Finding the Third Proportional to 49,944 and 106,245

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Solution

The third proportional to 49,944 and 106,245 is: 226,013.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,944 : 106,245 = 106,245 : x
  2. Step 2: Convert to fraction form
    49,944/106,245 = 106,245/x
  3. Step 3: Cross multiply
    49,944x = 106,245 × 106,245
  4. Step 4: Simplify right side
    49,944x = 11,288,000,025
  5. Step 5: Solve for x
    x = 11,288,000,025/49,944
  6. Step 6: Final answer
    x = 226,013.14

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.