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Finding the Third Proportional to 63,867.23 and 131,835.09

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Solution

The third proportional to 63,867.23 and 131,835.09 is: 272,134.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,867.23 : 131,835.09 = 131,835.09 : x
  2. Step 2: Convert to fraction form
    63,867.23/131,835.09 = 131,835.09/x
  3. Step 3: Cross multiply
    63,867.23x = 131,835.09 × 131,835.09
  4. Step 4: Simplify right side
    63,867.23x = 17,380,491,944.07
  5. Step 5: Solve for x
    x = 17,380,491,944.07/63,867.23
  6. Step 6: Final answer
    x = 272,134.72

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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.