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Finding the Third Proportional to 48,435 and 99,966

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Solution

The third proportional to 48,435 and 99,966 is: 206,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,435 : 99,966 = 99,966 : x
  2. Step 2: Convert to fraction form
    48,435/99,966 = 99,966/x
  3. Step 3: Cross multiply
    48,435x = 99,966 × 99,966
  4. Step 4: Simplify right side
    48,435x = 9,993,201,156
  5. Step 5: Solve for x
    x = 9,993,201,156/48,435
  6. Step 6: Final answer
    x = 206,321.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.