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Finding the Third Proportional to 52,869 and 80,978

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Solution

The third proportional to 52,869 and 80,978 is: 124,031.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,869 : 80,978 = 80,978 : x
  2. Step 2: Convert to fraction form
    52,869/80,978 = 80,978/x
  3. Step 3: Cross multiply
    52,869x = 80,978 × 80,978
  4. Step 4: Simplify right side
    52,869x = 6,557,436,484
  5. Step 5: Solve for x
    x = 6,557,436,484/52,869
  6. Step 6: Final answer
    x = 124,031.79

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.