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Finding the Third Proportional to 75,161 and 115,568

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Solution

The third proportional to 75,161 and 115,568 is: 177,698.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,161 : 115,568 = 115,568 : x
  2. Step 2: Convert to fraction form
    75,161/115,568 = 115,568/x
  3. Step 3: Cross multiply
    75,161x = 115,568 × 115,568
  4. Step 4: Simplify right side
    75,161x = 13,355,962,624
  5. Step 5: Solve for x
    x = 13,355,962,624/75,161
  6. Step 6: Final answer
    x = 177,698.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.