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Finding the Third Proportional to 73,869 and 161,104

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Solution

The third proportional to 73,869 and 161,104 is: 351,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,869 : 161,104 = 161,104 : x
  2. Step 2: Convert to fraction form
    73,869/161,104 = 161,104/x
  3. Step 3: Cross multiply
    73,869x = 161,104 × 161,104
  4. Step 4: Simplify right side
    73,869x = 25,954,498,816
  5. Step 5: Solve for x
    x = 25,954,498,816/73,869
  6. Step 6: Final answer
    x = 351,358.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.