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Finding the Third Proportional to 48,978 and 82,395

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Solution

The third proportional to 48,978 and 82,395 is: 138,611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,978 : 82,395 = 82,395 : x
  2. Step 2: Convert to fraction form
    48,978/82,395 = 82,395/x
  3. Step 3: Cross multiply
    48,978x = 82,395 × 82,395
  4. Step 4: Simplify right side
    48,978x = 6,788,936,025
  5. Step 5: Solve for x
    x = 6,788,936,025/48,978
  6. Step 6: Final answer
    x = 138,611.95

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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.