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Finding the Third Proportional to 48,865 and 76,218

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Solution

The third proportional to 48,865 and 76,218 is: 118,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,865 : 76,218 = 76,218 : x
  2. Step 2: Convert to fraction form
    48,865/76,218 = 76,218/x
  3. Step 3: Cross multiply
    48,865x = 76,218 × 76,218
  4. Step 4: Simplify right side
    48,865x = 5,809,183,524
  5. Step 5: Solve for x
    x = 5,809,183,524/48,865
  6. Step 6: Final answer
    x = 118,882.30

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.