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Finding the Third Proportional to 47,793 and 99,505

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Solution

The third proportional to 47,793 and 99,505 is: 207,169.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,793 : 99,505 = 99,505 : x
  2. Step 2: Convert to fraction form
    47,793/99,505 = 99,505/x
  3. Step 3: Cross multiply
    47,793x = 99,505 × 99,505
  4. Step 4: Simplify right side
    47,793x = 9,901,245,025
  5. Step 5: Solve for x
    x = 9,901,245,025/47,793
  6. Step 6: Final answer
    x = 207,169.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.