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Finding the Third Proportional to 95,847 and 150,048

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Solution

The third proportional to 95,847 and 150,048 is: 234,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,847 : 150,048 = 150,048 : x
  2. Step 2: Convert to fraction form
    95,847/150,048 = 150,048/x
  3. Step 3: Cross multiply
    95,847x = 150,048 × 150,048
  4. Step 4: Simplify right side
    95,847x = 22,514,402,304
  5. Step 5: Solve for x
    x = 22,514,402,304/95,847
  6. Step 6: Final answer
    x = 234,899.39

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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.