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Finding the Third Proportional to 39,758 and 84,256

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Solution

The third proportional to 39,758 and 84,256 is: 178,557.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,758 : 84,256 = 84,256 : x
  2. Step 2: Convert to fraction form
    39,758/84,256 = 84,256/x
  3. Step 3: Cross multiply
    39,758x = 84,256 × 84,256
  4. Step 4: Simplify right side
    39,758x = 7,099,073,536
  5. Step 5: Solve for x
    x = 7,099,073,536/39,758
  6. Step 6: Final answer
    x = 178,557.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.