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Finding the Third Proportional to 50,874 and 74,839

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Solution

The third proportional to 50,874 and 74,839 is: 110,093.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,874 : 74,839 = 74,839 : x
  2. Step 2: Convert to fraction form
    50,874/74,839 = 74,839/x
  3. Step 3: Cross multiply
    50,874x = 74,839 × 74,839
  4. Step 4: Simplify right side
    50,874x = 5,600,875,921
  5. Step 5: Solve for x
    x = 5,600,875,921/50,874
  6. Step 6: Final answer
    x = 110,093.09

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