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Finding the Third Proportional to 47,736 and 99,395

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Solution

The third proportional to 47,736 and 99,395 is: 206,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,736 : 99,395 = 99,395 : x
  2. Step 2: Convert to fraction form
    47,736/99,395 = 99,395/x
  3. Step 3: Cross multiply
    47,736x = 99,395 × 99,395
  4. Step 4: Simplify right side
    47,736x = 9,879,366,025
  5. Step 5: Solve for x
    x = 9,879,366,025/47,736
  6. Step 6: Final answer
    x = 206,958.40

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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.