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Finding the Third Proportional to 39,504 and 86,352

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Solution

The third proportional to 39,504 and 86,352 is: 188,757.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,504 : 86,352 = 86,352 : x
  2. Step 2: Convert to fraction form
    39,504/86,352 = 86,352/x
  3. Step 3: Cross multiply
    39,504x = 86,352 × 86,352
  4. Step 4: Simplify right side
    39,504x = 7,456,667,904
  5. Step 5: Solve for x
    x = 7,456,667,904/39,504
  6. Step 6: Final answer
    x = 188,757.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.