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Finding the Third Proportional to 50,869 and 73,990.50

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Solution

The third proportional to 50,869 and 73,990.50 is: 107,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,869 : 73,990.50 = 73,990.50 : x
  2. Step 2: Convert to fraction form
    50,869/73,990.50 = 73,990.50/x
  3. Step 3: Cross multiply
    50,869x = 73,990.50 × 73,990.50
  4. Step 4: Simplify right side
    50,869x = 5,474,594,090.25
  5. Step 5: Solve for x
    x = 5,474,594,090.25/50,869
  6. Step 6: Final answer
    x = 107,621.42

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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.