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Finding the Third Proportional to 77,647 and 167,181

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Solution

The third proportional to 77,647 and 167,181 is: 359,955.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,647 : 167,181 = 167,181 : x
  2. Step 2: Convert to fraction form
    77,647/167,181 = 167,181/x
  3. Step 3: Cross multiply
    77,647x = 167,181 × 167,181
  4. Step 4: Simplify right side
    77,647x = 27,949,486,761
  5. Step 5: Solve for x
    x = 27,949,486,761/77,647
  6. Step 6: Final answer
    x = 359,955.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.