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Finding the Third Proportional to 67,869 and 143,398

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Solution

The third proportional to 67,869 and 143,398 is: 302,980.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,869 : 143,398 = 143,398 : x
  2. Step 2: Convert to fraction form
    67,869/143,398 = 143,398/x
  3. Step 3: Cross multiply
    67,869x = 143,398 × 143,398
  4. Step 4: Simplify right side
    67,869x = 20,562,986,404
  5. Step 5: Solve for x
    x = 20,562,986,404/67,869
  6. Step 6: Final answer
    x = 302,980.54

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.