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Finding the Third Proportional to 39,965 and 87,544

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Solution

The third proportional to 39,965 and 87,544 is: 191,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,965 : 87,544 = 87,544 : x
  2. Step 2: Convert to fraction form
    39,965/87,544 = 87,544/x
  3. Step 3: Cross multiply
    39,965x = 87,544 × 87,544
  4. Step 4: Simplify right side
    39,965x = 7,663,951,936
  5. Step 5: Solve for x
    x = 7,663,951,936/39,965
  6. Step 6: Final answer
    x = 191,766.59

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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.