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Finding the Third Proportional to 95,326 and 188,257

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Solution

The third proportional to 95,326 and 188,257 is: 371,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,326 : 188,257 = 188,257 : x
  2. Step 2: Convert to fraction form
    95,326/188,257 = 188,257/x
  3. Step 3: Cross multiply
    95,326x = 188,257 × 188,257
  4. Step 4: Simplify right side
    95,326x = 35,440,698,049
  5. Step 5: Solve for x
    x = 35,440,698,049/95,326
  6. Step 6: Final answer
    x = 371,784.17

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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.