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Finding the Third Proportional to 71,022 and 154,756

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Solution

The third proportional to 71,022 and 154,756 is: 337,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,022 : 154,756 = 154,756 : x
  2. Step 2: Convert to fraction form
    71,022/154,756 = 154,756/x
  3. Step 3: Cross multiply
    71,022x = 154,756 × 154,756
  4. Step 4: Simplify right side
    71,022x = 23,949,419,536
  5. Step 5: Solve for x
    x = 23,949,419,536/71,022
  6. Step 6: Final answer
    x = 337,211.28

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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.