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Finding the Third Proportional to 69,138 and 150,790

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Solution

The third proportional to 69,138 and 150,790 is: 328,873.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,138 : 150,790 = 150,790 : x
  2. Step 2: Convert to fraction form
    69,138/150,790 = 150,790/x
  3. Step 3: Cross multiply
    69,138x = 150,790 × 150,790
  4. Step 4: Simplify right side
    69,138x = 22,737,624,100
  5. Step 5: Solve for x
    x = 22,737,624,100/69,138
  6. Step 6: Final answer
    x = 328,873.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.