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Finding the Third Proportional to 50,508 and 73,926

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Solution

The third proportional to 50,508 and 73,926 is: 108,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,508 : 73,926 = 73,926 : x
  2. Step 2: Convert to fraction form
    50,508/73,926 = 73,926/x
  3. Step 3: Cross multiply
    50,508x = 73,926 × 73,926
  4. Step 4: Simplify right side
    50,508x = 5,465,053,476
  5. Step 5: Solve for x
    x = 5,465,053,476/50,508
  6. Step 6: Final answer
    x = 108,201.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.