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Finding the Third Proportional to 92,034 and 187,938

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Solution

The third proportional to 92,034 and 187,938 is: 383,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,034 : 187,938 = 187,938 : x
  2. Step 2: Convert to fraction form
    92,034/187,938 = 187,938/x
  3. Step 3: Cross multiply
    92,034x = 187,938 × 187,938
  4. Step 4: Simplify right side
    92,034x = 35,320,691,844
  5. Step 5: Solve for x
    x = 35,320,691,844/92,034
  6. Step 6: Final answer
    x = 383,778.73

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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.