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Finding the Third Proportional to 43,869 and 70,648

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Solution

The third proportional to 43,869 and 70,648 is: 113,773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,869 : 70,648 = 70,648 : x
  2. Step 2: Convert to fraction form
    43,869/70,648 = 70,648/x
  3. Step 3: Cross multiply
    43,869x = 70,648 × 70,648
  4. Step 4: Simplify right side
    43,869x = 4,991,139,904
  5. Step 5: Solve for x
    x = 4,991,139,904/43,869
  6. Step 6: Final answer
    x = 113,773.73

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.