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Finding the Third Proportional to 95,914 and 150,456

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Solution

The third proportional to 95,914 and 150,456 is: 236,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,914 : 150,456 = 150,456 : x
  2. Step 2: Convert to fraction form
    95,914/150,456 = 150,456/x
  3. Step 3: Cross multiply
    95,914x = 150,456 × 150,456
  4. Step 4: Simplify right side
    95,914x = 22,637,007,936
  5. Step 5: Solve for x
    x = 22,637,007,936/95,914
  6. Step 6: Final answer
    x = 236,013.59

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.