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Finding the Third Proportional to 95,237 and 150,675

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Solution

The third proportional to 95,237 and 150,675 is: 238,383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,237 : 150,675 = 150,675 : x
  2. Step 2: Convert to fraction form
    95,237/150,675 = 150,675/x
  3. Step 3: Cross multiply
    95,237x = 150,675 × 150,675
  4. Step 4: Simplify right side
    95,237x = 22,702,955,625
  5. Step 5: Solve for x
    x = 22,702,955,625/95,237
  6. Step 6: Final answer
    x = 238,383.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.