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Finding the Third Proportional to 95,991 and 135,117

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Solution

The third proportional to 95,991 and 135,117 is: 190,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,991 : 135,117 = 135,117 : x
  2. Step 2: Convert to fraction form
    95,991/135,117 = 135,117/x
  3. Step 3: Cross multiply
    95,991x = 135,117 × 135,117
  4. Step 4: Simplify right side
    95,991x = 18,256,603,689
  5. Step 5: Solve for x
    x = 18,256,603,689/95,991
  6. Step 6: Final answer
    x = 190,190.79

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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.