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Finding the Third Proportional to 50,694 and 111,324

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Solution

The third proportional to 50,694 and 111,324 is: 244,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,694 : 111,324 = 111,324 : x
  2. Step 2: Convert to fraction form
    50,694/111,324 = 111,324/x
  3. Step 3: Cross multiply
    50,694x = 111,324 × 111,324
  4. Step 4: Simplify right side
    50,694x = 12,393,032,976
  5. Step 5: Solve for x
    x = 12,393,032,976/50,694
  6. Step 6: Final answer
    x = 244,467.45

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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.