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Finding the Third Proportional to 91,696 and 187,279

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Solution

The third proportional to 91,696 and 187,279 is: 382,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,696 : 187,279 = 187,279 : x
  2. Step 2: Convert to fraction form
    91,696/187,279 = 187,279/x
  3. Step 3: Cross multiply
    91,696x = 187,279 × 187,279
  4. Step 4: Simplify right side
    91,696x = 35,073,423,841
  5. Step 5: Solve for x
    x = 35,073,423,841/91,696
  6. Step 6: Final answer
    x = 382,496.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.