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Finding the Third Proportional to 50,967 and 119,923

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Solution

The third proportional to 50,967 and 119,923 is: 282,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,967 : 119,923 = 119,923 : x
  2. Step 2: Convert to fraction form
    50,967/119,923 = 119,923/x
  3. Step 3: Cross multiply
    50,967x = 119,923 × 119,923
  4. Step 4: Simplify right side
    50,967x = 14,381,525,929
  5. Step 5: Solve for x
    x = 14,381,525,929/50,967
  6. Step 6: Final answer
    x = 282,173.29

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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.