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Finding the Third Proportional to 92,206 and 187,794

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Solution

The third proportional to 92,206 and 187,794 is: 382,476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,206 : 187,794 = 187,794 : x
  2. Step 2: Convert to fraction form
    92,206/187,794 = 187,794/x
  3. Step 3: Cross multiply
    92,206x = 187,794 × 187,794
  4. Step 4: Simplify right side
    92,206x = 35,266,586,436
  5. Step 5: Solve for x
    x = 35,266,586,436/92,206
  6. Step 6: Final answer
    x = 382,476.05

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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.