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Finding the Third Proportional to 50,962 and 119,911

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Solution

The third proportional to 50,962 and 119,911 is: 282,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,962 : 119,911 = 119,911 : x
  2. Step 2: Convert to fraction form
    50,962/119,911 = 119,911/x
  3. Step 3: Cross multiply
    50,962x = 119,911 × 119,911
  4. Step 4: Simplify right side
    50,962x = 14,378,647,921
  5. Step 5: Solve for x
    x = 14,378,647,921/50,962
  6. Step 6: Final answer
    x = 282,144.50

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.