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Finding the Third Proportional to 36,171 and 75,109

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Solution

The third proportional to 36,171 and 75,109 is: 155,963.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,171 : 75,109 = 75,109 : x
  2. Step 2: Convert to fraction form
    36,171/75,109 = 75,109/x
  3. Step 3: Cross multiply
    36,171x = 75,109 × 75,109
  4. Step 4: Simplify right side
    36,171x = 5,641,361,881
  5. Step 5: Solve for x
    x = 5,641,361,881/36,171
  6. Step 6: Final answer
    x = 155,963.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.