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Finding the Third Proportional to 95,389 and 188,376

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Solution

The third proportional to 95,389 and 188,376 is: 372,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,389 : 188,376 = 188,376 : x
  2. Step 2: Convert to fraction form
    95,389/188,376 = 188,376/x
  3. Step 3: Cross multiply
    95,389x = 188,376 × 188,376
  4. Step 4: Simplify right side
    95,389x = 35,485,517,376
  5. Step 5: Solve for x
    x = 35,485,517,376/95,389
  6. Step 6: Final answer
    x = 372,008.49

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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.