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Finding the Third Proportional to 50,024 and 105,676

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Solution

The third proportional to 50,024 and 105,676 is: 223,241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,024 : 105,676 = 105,676 : x
  2. Step 2: Convert to fraction form
    50,024/105,676 = 105,676/x
  3. Step 3: Cross multiply
    50,024x = 105,676 × 105,676
  4. Step 4: Simplify right side
    50,024x = 11,167,416,976
  5. Step 5: Solve for x
    x = 11,167,416,976/50,024
  6. Step 6: Final answer
    x = 223,241.18

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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.