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Finding the Third Proportional to 50,956 and 74,867

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Solution

The third proportional to 50,956 and 74,867 is: 109,998.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,956 : 74,867 = 74,867 : x
  2. Step 2: Convert to fraction form
    50,956/74,867 = 74,867/x
  3. Step 3: Cross multiply
    50,956x = 74,867 × 74,867
  4. Step 4: Simplify right side
    50,956x = 5,605,067,689
  5. Step 5: Solve for x
    x = 5,605,067,689/50,956
  6. Step 6: Final answer
    x = 109,998.19

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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.