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Finding the Third Proportional to 95,600 and 133,713

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Solution

The third proportional to 95,600 and 133,713 is: 187,020.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,600 : 133,713 = 133,713 : x
  2. Step 2: Convert to fraction form
    95,600/133,713 = 133,713/x
  3. Step 3: Cross multiply
    95,600x = 133,713 × 133,713
  4. Step 4: Simplify right side
    95,600x = 17,879,166,369
  5. Step 5: Solve for x
    x = 17,879,166,369/95,600
  6. Step 6: Final answer
    x = 187,020.57

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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.