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Finding the Third Proportional to 92,206 and 187,792

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Solution

The third proportional to 92,206 and 187,792 is: 382,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,206 : 187,792 = 187,792 : x
  2. Step 2: Convert to fraction form
    92,206/187,792 = 187,792/x
  3. Step 3: Cross multiply
    92,206x = 187,792 × 187,792
  4. Step 4: Simplify right side
    92,206x = 35,265,835,264
  5. Step 5: Solve for x
    x = 35,265,835,264/92,206
  6. Step 6: Final answer
    x = 382,467.90

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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.