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Finding the Third Proportional to 95,228 and 181,816

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Solution

The third proportional to 95,228 and 181,816 is: 347,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,228 : 181,816 = 181,816 : x
  2. Step 2: Convert to fraction form
    95,228/181,816 = 181,816/x
  3. Step 3: Cross multiply
    95,228x = 181,816 × 181,816
  4. Step 4: Simplify right side
    95,228x = 33,057,057,856
  5. Step 5: Solve for x
    x = 33,057,057,856/95,228
  6. Step 6: Final answer
    x = 347,135.90

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.