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Finding the Third Proportional to 122,728 and 273,104

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Solution

The third proportional to 122,728 and 273,104 is: 607,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,728 : 273,104 = 273,104 : x
  2. Step 2: Convert to fraction form
    122,728/273,104 = 273,104/x
  3. Step 3: Cross multiply
    122,728x = 273,104 × 273,104
  4. Step 4: Simplify right side
    122,728x = 74,585,794,816
  5. Step 5: Solve for x
    x = 74,585,794,816/122,728
  6. Step 6: Final answer
    x = 607,732.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.