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Finding the Third Proportional to 49,777 and 108,302

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Solution

The third proportional to 49,777 and 108,302 is: 235,637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,777 : 108,302 = 108,302 : x
  2. Step 2: Convert to fraction form
    49,777/108,302 = 108,302/x
  3. Step 3: Cross multiply
    49,777x = 108,302 × 108,302
  4. Step 4: Simplify right side
    49,777x = 11,729,323,204
  5. Step 5: Solve for x
    x = 11,729,323,204/49,777
  6. Step 6: Final answer
    x = 235,637.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.