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Finding the Third Proportional to 95,544 and 133,632

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Solution

The third proportional to 95,544 and 133,632 is: 186,903.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,544 : 133,632 = 133,632 : x
  2. Step 2: Convert to fraction form
    95,544/133,632 = 133,632/x
  3. Step 3: Cross multiply
    95,544x = 133,632 × 133,632
  4. Step 4: Simplify right side
    95,544x = 17,857,511,424
  5. Step 5: Solve for x
    x = 17,857,511,424/95,544
  6. Step 6: Final answer
    x = 186,903.54

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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.