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Finding the Third Proportional to 96,041 and 135,192

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Solution

The third proportional to 96,041 and 135,192 is: 190,302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,041 : 135,192 = 135,192 : x
  2. Step 2: Convert to fraction form
    96,041/135,192 = 135,192/x
  3. Step 3: Cross multiply
    96,041x = 135,192 × 135,192
  4. Step 4: Simplify right side
    96,041x = 18,276,876,864
  5. Step 5: Solve for x
    x = 18,276,876,864/96,041
  6. Step 6: Final answer
    x = 190,302.86

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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.