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Finding the Third Proportional to 68,728 and 147,626

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Solution

The third proportional to 68,728 and 147,626 is: 317,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,728 : 147,626 = 147,626 : x
  2. Step 2: Convert to fraction form
    68,728/147,626 = 147,626/x
  3. Step 3: Cross multiply
    68,728x = 147,626 × 147,626
  4. Step 4: Simplify right side
    68,728x = 21,793,435,876
  5. Step 5: Solve for x
    x = 21,793,435,876/68,728
  6. Step 6: Final answer
    x = 317,096.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.