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Finding the Third Proportional to 48,832 and 106,087

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Solution

The third proportional to 48,832 and 106,087 is: 230,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,832 : 106,087 = 106,087 : x
  2. Step 2: Convert to fraction form
    48,832/106,087 = 106,087/x
  3. Step 3: Cross multiply
    48,832x = 106,087 × 106,087
  4. Step 4: Simplify right side
    48,832x = 11,254,451,569
  5. Step 5: Solve for x
    x = 11,254,451,569/48,832
  6. Step 6: Final answer
    x = 230,472.88

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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.