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Finding the Third Proportional to 96,039 and 135,189

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Solution

The third proportional to 96,039 and 135,189 is: 190,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,039 : 135,189 = 135,189 : x
  2. Step 2: Convert to fraction form
    96,039/135,189 = 135,189/x
  3. Step 3: Cross multiply
    96,039x = 135,189 × 135,189
  4. Step 4: Simplify right side
    96,039x = 18,276,065,721
  5. Step 5: Solve for x
    x = 18,276,065,721/96,039
  6. Step 6: Final answer
    x = 190,298.38

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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.