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Finding the Third Proportional to 65,544 and 154,067

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Solution

The third proportional to 65,544 and 154,067 is: 362,148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,544 : 154,067 = 154,067 : x
  2. Step 2: Convert to fraction form
    65,544/154,067 = 154,067/x
  3. Step 3: Cross multiply
    65,544x = 154,067 × 154,067
  4. Step 4: Simplify right side
    65,544x = 23,736,640,489
  5. Step 5: Solve for x
    x = 23,736,640,489/65,544
  6. Step 6: Final answer
    x = 362,148.18

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.