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Finding the Third Proportional to 39,100 and 76,244

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Solution

The third proportional to 39,100 and 76,244 is: 148,673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,100 : 76,244 = 76,244 : x
  2. Step 2: Convert to fraction form
    39,100/76,244 = 76,244/x
  3. Step 3: Cross multiply
    39,100x = 76,244 × 76,244
  4. Step 4: Simplify right side
    39,100x = 5,813,147,536
  5. Step 5: Solve for x
    x = 5,813,147,536/39,100
  6. Step 6: Final answer
    x = 148,673.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.