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Finding the Third Proportional to 50,297 and 104,728

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Solution

The third proportional to 50,297 and 104,728 is: 218,063.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,297 : 104,728 = 104,728 : x
  2. Step 2: Convert to fraction form
    50,297/104,728 = 104,728/x
  3. Step 3: Cross multiply
    50,297x = 104,728 × 104,728
  4. Step 4: Simplify right side
    50,297x = 10,967,953,984
  5. Step 5: Solve for x
    x = 10,967,953,984/50,297
  6. Step 6: Final answer
    x = 218,063.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.