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Finding the Third Proportional to 48,951 and 106,218

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Solution

The third proportional to 48,951 and 106,218 is: 230,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,951 : 106,218 = 106,218 : x
  2. Step 2: Convert to fraction form
    48,951/106,218 = 106,218/x
  3. Step 3: Cross multiply
    48,951x = 106,218 × 106,218
  4. Step 4: Simplify right side
    48,951x = 11,282,263,524
  5. Step 5: Solve for x
    x = 11,282,263,524/48,951
  6. Step 6: Final answer
    x = 230,480.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.