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Finding the Third Proportional to 36,169 and 75,105

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Solution

The third proportional to 36,169 and 75,105 is: 155,955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,169 : 75,105 = 75,105 : x
  2. Step 2: Convert to fraction form
    36,169/75,105 = 75,105/x
  3. Step 3: Cross multiply
    36,169x = 75,105 × 75,105
  4. Step 4: Simplify right side
    36,169x = 5,640,761,025
  5. Step 5: Solve for x
    x = 5,640,761,025/36,169
  6. Step 6: Final answer
    x = 155,955.68

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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.