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Finding the Third Proportional to 95,337 and 188,277

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Solution

The third proportional to 95,337 and 188,277 is: 371,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,337 : 188,277 = 188,277 : x
  2. Step 2: Convert to fraction form
    95,337/188,277 = 188,277/x
  3. Step 3: Cross multiply
    95,337x = 188,277 × 188,277
  4. Step 4: Simplify right side
    95,337x = 35,448,228,729
  5. Step 5: Solve for x
    x = 35,448,228,729/95,337
  6. Step 6: Final answer
    x = 371,820.27

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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.