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Finding the Third Proportional to 49,962 and 109,740

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Solution

The third proportional to 49,962 and 109,740 is: 241,040.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,962 : 109,740 = 109,740 : x
  2. Step 2: Convert to fraction form
    49,962/109,740 = 109,740/x
  3. Step 3: Cross multiply
    49,962x = 109,740 × 109,740
  4. Step 4: Simplify right side
    49,962x = 12,042,867,600
  5. Step 5: Solve for x
    x = 12,042,867,600/49,962
  6. Step 6: Final answer
    x = 241,040.54

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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.