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Finding the Third Proportional to 64,724.75 and 133,942.75

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Solution

The third proportional to 64,724.75 and 133,942.75 is: 277,183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,724.75 : 133,942.75 = 133,942.75 : x
  2. Step 2: Convert to fraction form
    64,724.75/133,942.75 = 133,942.75/x
  3. Step 3: Cross multiply
    64,724.75x = 133,942.75 × 133,942.75
  4. Step 4: Simplify right side
    64,724.75x = 17,940,660,277.56
  5. Step 5: Solve for x
    x = 17,940,660,277.56/64,724.75
  6. Step 6: Final answer
    x = 277,183.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.