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Finding the Third Proportional to 50,618.25 and 117,183.38

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Solution

The third proportional to 50,618.25 and 117,183.38 is: 271,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,618.25 : 117,183.38 = 117,183.38 : x
  2. Step 2: Convert to fraction form
    50,618.25/117,183.38 = 117,183.38/x
  3. Step 3: Cross multiply
    50,618.25x = 117,183.38 × 117,183.38
  4. Step 4: Simplify right side
    50,618.25x = 13,731,943,376.39
  5. Step 5: Solve for x
    x = 13,731,943,376.39/50,618.25
  6. Step 6: Final answer
    x = 271,284.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.