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Finding the Third Proportional to 67,869 and 146,144

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Solution

The third proportional to 67,869 and 146,144 is: 314,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,869 : 146,144 = 146,144 : x
  2. Step 2: Convert to fraction form
    67,869/146,144 = 146,144/x
  3. Step 3: Cross multiply
    67,869x = 146,144 × 146,144
  4. Step 4: Simplify right side
    67,869x = 21,358,068,736
  5. Step 5: Solve for x
    x = 21,358,068,736/67,869
  6. Step 6: Final answer
    x = 314,695.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.