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Finding the Third Proportional to 135,979.13 and 191,150.44

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Solution

The third proportional to 135,979.13 and 191,150.44 is: 268,706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,979.13 : 191,150.44 = 191,150.44 : x
  2. Step 2: Convert to fraction form
    135,979.13/191,150.44 = 191,150.44/x
  3. Step 3: Cross multiply
    135,979.13x = 191,150.44 × 191,150.44
  4. Step 4: Simplify right side
    135,979.13x = 36,538,489,756.44
  5. Step 5: Solve for x
    x = 36,538,489,756.44/135,979.13
  6. Step 6: Final answer
    x = 268,706.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.