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Finding the Third Proportional to 95,416 and 188,420

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Solution

The third proportional to 95,416 and 188,420 is: 372,076.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,416 : 188,420 = 188,420 : x
  2. Step 2: Convert to fraction form
    95,416/188,420 = 188,420/x
  3. Step 3: Cross multiply
    95,416x = 188,420 × 188,420
  4. Step 4: Simplify right side
    95,416x = 35,502,096,400
  5. Step 5: Solve for x
    x = 35,502,096,400/95,416
  6. Step 6: Final answer
    x = 372,076.97

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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.