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Finding the Third Proportional to 92,006 and 187,396

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Solution

The third proportional to 92,006 and 187,396 is: 381,684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,006 : 187,396 = 187,396 : x
  2. Step 2: Convert to fraction form
    92,006/187,396 = 187,396/x
  3. Step 3: Cross multiply
    92,006x = 187,396 × 187,396
  4. Step 4: Simplify right side
    92,006x = 35,117,260,816
  5. Step 5: Solve for x
    x = 35,117,260,816/92,006
  6. Step 6: Final answer
    x = 381,684.46

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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.