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Finding the Third Proportional to 49,341 and 73,161

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Solution

The third proportional to 49,341 and 73,161 is: 108,480.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,341 : 73,161 = 73,161 : x
  2. Step 2: Convert to fraction form
    49,341/73,161 = 73,161/x
  3. Step 3: Cross multiply
    49,341x = 73,161 × 73,161
  4. Step 4: Simplify right side
    49,341x = 5,352,531,921
  5. Step 5: Solve for x
    x = 5,352,531,921/49,341
  6. Step 6: Final answer
    x = 108,480.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.