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Finding the Third Proportional to 50,163 and 118,845

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Solution

The third proportional to 50,163 and 118,845 is: 281,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,163 : 118,845 = 118,845 : x
  2. Step 2: Convert to fraction form
    50,163/118,845 = 118,845/x
  3. Step 3: Cross multiply
    50,163x = 118,845 × 118,845
  4. Step 4: Simplify right side
    50,163x = 14,124,134,025
  5. Step 5: Solve for x
    x = 14,124,134,025/50,163
  6. Step 6: Final answer
    x = 281,564.78

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.