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Finding the Third Proportional to 95,015 and 133,619

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Solution

The third proportional to 95,015 and 133,619 is: 187,907.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,015 : 133,619 = 133,619 : x
  2. Step 2: Convert to fraction form
    95,015/133,619 = 133,619/x
  3. Step 3: Cross multiply
    95,015x = 133,619 × 133,619
  4. Step 4: Simplify right side
    95,015x = 17,854,037,161
  5. Step 5: Solve for x
    x = 17,854,037,161/95,015
  6. Step 6: Final answer
    x = 187,907.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.