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Finding the Third Proportional to 68,048 and 144,195

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Solution

The third proportional to 68,048 and 144,195 is: 305,551.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,048 : 144,195 = 144,195 : x
  2. Step 2: Convert to fraction form
    68,048/144,195 = 144,195/x
  3. Step 3: Cross multiply
    68,048x = 144,195 × 144,195
  4. Step 4: Simplify right side
    68,048x = 20,792,198,025
  5. Step 5: Solve for x
    x = 20,792,198,025/68,048
  6. Step 6: Final answer
    x = 305,551.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.