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Finding the Third Proportional to 95,301 and 133,879

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Solution

The third proportional to 95,301 and 133,879 is: 188,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,301 : 133,879 = 133,879 : x
  2. Step 2: Convert to fraction form
    95,301/133,879 = 133,879/x
  3. Step 3: Cross multiply
    95,301x = 133,879 × 133,879
  4. Step 4: Simplify right side
    95,301x = 17,923,586,641
  5. Step 5: Solve for x
    x = 17,923,586,641/95,301
  6. Step 6: Final answer
    x = 188,073.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.