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Finding the Third Proportional to 48,193 and 99,735

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Solution

The third proportional to 48,193 and 99,735 is: 206,400.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,193 : 99,735 = 99,735 : x
  2. Step 2: Convert to fraction form
    48,193/99,735 = 99,735/x
  3. Step 3: Cross multiply
    48,193x = 99,735 × 99,735
  4. Step 4: Simplify right side
    48,193x = 9,947,070,225
  5. Step 5: Solve for x
    x = 9,947,070,225/48,193
  6. Step 6: Final answer
    x = 206,400.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.