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Finding the Third Proportional to 63,772 and 148,198

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Solution

The third proportional to 63,772 and 148,198 is: 344,393.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,772 : 148,198 = 148,198 : x
  2. Step 2: Convert to fraction form
    63,772/148,198 = 148,198/x
  3. Step 3: Cross multiply
    63,772x = 148,198 × 148,198
  4. Step 4: Simplify right side
    63,772x = 21,962,647,204
  5. Step 5: Solve for x
    x = 21,962,647,204/63,772
  6. Step 6: Final answer
    x = 344,393.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.