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Finding the Third Proportional to 48,519 and 106,812

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Solution

The third proportional to 48,519 and 106,812 is: 235,140.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,519 : 106,812 = 106,812 : x
  2. Step 2: Convert to fraction form
    48,519/106,812 = 106,812/x
  3. Step 3: Cross multiply
    48,519x = 106,812 × 106,812
  4. Step 4: Simplify right side
    48,519x = 11,408,803,344
  5. Step 5: Solve for x
    x = 11,408,803,344/48,519
  6. Step 6: Final answer
    x = 235,140.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.