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Finding the Third Proportional to 51,941 and 111,640

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Solution

The third proportional to 51,941 and 111,640 is: 239,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,941 : 111,640 = 111,640 : x
  2. Step 2: Convert to fraction form
    51,941/111,640 = 111,640/x
  3. Step 3: Cross multiply
    51,941x = 111,640 × 111,640
  4. Step 4: Simplify right side
    51,941x = 12,463,489,600
  5. Step 5: Solve for x
    x = 12,463,489,600/51,941
  6. Step 6: Final answer
    x = 239,954.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.