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Finding the Third Proportional to 95,896 and 150,432

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Solution

The third proportional to 95,896 and 150,432 is: 235,982.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,896 : 150,432 = 150,432 : x
  2. Step 2: Convert to fraction form
    95,896/150,432 = 150,432/x
  3. Step 3: Cross multiply
    95,896x = 150,432 × 150,432
  4. Step 4: Simplify right side
    95,896x = 22,629,786,624
  5. Step 5: Solve for x
    x = 22,629,786,624/95,896
  6. Step 6: Final answer
    x = 235,982.59

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Why These Related Problems?

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