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Finding the Third Proportional to 95,879 and 150,413

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Solution

The third proportional to 95,879 and 150,413 is: 235,964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,879 : 150,413 = 150,413 : x
  2. Step 2: Convert to fraction form
    95,879/150,413 = 150,413/x
  3. Step 3: Cross multiply
    95,879x = 150,413 × 150,413
  4. Step 4: Simplify right side
    95,879x = 22,624,070,569
  5. Step 5: Solve for x
    x = 22,624,070,569/95,879
  6. Step 6: Final answer
    x = 235,964.82

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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.