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Finding the Third Proportional to 39,504 and 88,296

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Solution

The third proportional to 39,504 and 88,296 is: 197,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,504 : 88,296 = 88,296 : x
  2. Step 2: Convert to fraction form
    39,504/88,296 = 88,296/x
  3. Step 3: Cross multiply
    39,504x = 88,296 × 88,296
  4. Step 4: Simplify right side
    39,504x = 7,796,183,616
  5. Step 5: Solve for x
    x = 7,796,183,616/39,504
  6. Step 6: Final answer
    x = 197,351.75

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.