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Finding the Third Proportional to 50,022 and 105,672

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Solution

The third proportional to 50,022 and 105,672 is: 223,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,022 : 105,672 = 105,672 : x
  2. Step 2: Convert to fraction form
    50,022/105,672 = 105,672/x
  3. Step 3: Cross multiply
    50,022x = 105,672 × 105,672
  4. Step 4: Simplify right side
    50,022x = 11,166,571,584
  5. Step 5: Solve for x
    x = 11,166,571,584/50,022
  6. Step 6: Final answer
    x = 223,233.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.