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Finding the Third Proportional to 95,339 and 188,281

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Solution

The third proportional to 95,339 and 188,281 is: 371,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,339 : 188,281 = 188,281 : x
  2. Step 2: Convert to fraction form
    95,339/188,281 = 188,281/x
  3. Step 3: Cross multiply
    95,339x = 188,281 × 188,281
  4. Step 4: Simplify right side
    95,339x = 35,449,734,961
  5. Step 5: Solve for x
    x = 35,449,734,961/95,339
  6. Step 6: Final answer
    x = 371,828.27

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.