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Finding the Third Proportional to 50,868 and 73,989

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Solution

The third proportional to 50,868 and 73,989 is: 107,619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,868 : 73,989 = 73,989 : x
  2. Step 2: Convert to fraction form
    50,868/73,989 = 73,989/x
  3. Step 3: Cross multiply
    50,868x = 73,989 × 73,989
  4. Step 4: Simplify right side
    50,868x = 5,474,372,121
  5. Step 5: Solve for x
    x = 5,474,372,121/50,868
  6. Step 6: Final answer
    x = 107,619.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.