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Finding the Third Proportional to 95,867 and 131,498

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Solution

The third proportional to 95,867 and 131,498 is: 180,372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,867 : 131,498 = 131,498 : x
  2. Step 2: Convert to fraction form
    95,867/131,498 = 131,498/x
  3. Step 3: Cross multiply
    95,867x = 131,498 × 131,498
  4. Step 4: Simplify right side
    95,867x = 17,291,724,004
  5. Step 5: Solve for x
    x = 17,291,724,004/95,867
  6. Step 6: Final answer
    x = 180,372.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.