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Finding the Third Proportional to 50,124 and 108,992

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Solution

The third proportional to 50,124 and 108,992 is: 236,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,124 : 108,992 = 108,992 : x
  2. Step 2: Convert to fraction form
    50,124/108,992 = 108,992/x
  3. Step 3: Cross multiply
    50,124x = 108,992 × 108,992
  4. Step 4: Simplify right side
    50,124x = 11,879,256,064
  5. Step 5: Solve for x
    x = 11,879,256,064/50,124
  6. Step 6: Final answer
    x = 236,997.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.