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Finding the Third Proportional to 64,206 and 131,976

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Solution

The third proportional to 64,206 and 131,976 is: 271,277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,206 : 131,976 = 131,976 : x
  2. Step 2: Convert to fraction form
    64,206/131,976 = 131,976/x
  3. Step 3: Cross multiply
    64,206x = 131,976 × 131,976
  4. Step 4: Simplify right side
    64,206x = 17,417,664,576
  5. Step 5: Solve for x
    x = 17,417,664,576/64,206
  6. Step 6: Final answer
    x = 271,277.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.