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Finding the Third Proportional to 63,667 and 134,922

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Solution

The third proportional to 63,667 and 134,922 is: 285,924.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,667 : 134,922 = 134,922 : x
  2. Step 2: Convert to fraction form
    63,667/134,922 = 134,922/x
  3. Step 3: Cross multiply
    63,667x = 134,922 × 134,922
  4. Step 4: Simplify right side
    63,667x = 18,203,946,084
  5. Step 5: Solve for x
    x = 18,203,946,084/63,667
  6. Step 6: Final answer
    x = 285,924.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.