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Finding the Third Proportional to 67,869 and 89,250

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Solution

The third proportional to 67,869 and 89,250 is: 117,366.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,869 : 89,250 = 89,250 : x
  2. Step 2: Convert to fraction form
    67,869/89,250 = 89,250/x
  3. Step 3: Cross multiply
    67,869x = 89,250 × 89,250
  4. Step 4: Simplify right side
    67,869x = 7,965,562,500
  5. Step 5: Solve for x
    x = 7,965,562,500/67,869
  6. Step 6: Final answer
    x = 117,366.73

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.