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Finding the Third Proportional to 95,578 and 133,713

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Solution

The third proportional to 95,578 and 133,713 is: 187,063.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,578 : 133,713 = 133,713 : x
  2. Step 2: Convert to fraction form
    95,578/133,713 = 133,713/x
  3. Step 3: Cross multiply
    95,578x = 133,713 × 133,713
  4. Step 4: Simplify right side
    95,578x = 17,879,166,369
  5. Step 5: Solve for x
    x = 17,879,166,369/95,578
  6. Step 6: Final answer
    x = 187,063.62

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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.