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Finding the Third Proportional to 95,960 and 131,668

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Solution

The third proportional to 95,960 and 131,668 is: 180,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,960 : 131,668 = 131,668 : x
  2. Step 2: Convert to fraction form
    95,960/131,668 = 131,668/x
  3. Step 3: Cross multiply
    95,960x = 131,668 × 131,668
  4. Step 4: Simplify right side
    95,960x = 17,336,462,224
  5. Step 5: Solve for x
    x = 17,336,462,224/95,960
  6. Step 6: Final answer
    x = 180,663.42

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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.