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Finding the Third Proportional to 50,236 and 73,816

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Solution

The third proportional to 50,236 and 73,816 is: 108,464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,236 : 73,816 = 73,816 : x
  2. Step 2: Convert to fraction form
    50,236/73,816 = 73,816/x
  3. Step 3: Cross multiply
    50,236x = 73,816 × 73,816
  4. Step 4: Simplify right side
    50,236x = 5,448,801,856
  5. Step 5: Solve for x
    x = 5,448,801,856/50,236
  6. Step 6: Final answer
    x = 108,464.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.