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Finding the Third Proportional to 42,734 and 92,839

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Solution

The third proportional to 42,734 and 92,839 is: 201,691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,734 : 92,839 = 92,839 : x
  2. Step 2: Convert to fraction form
    42,734/92,839 = 92,839/x
  3. Step 3: Cross multiply
    42,734x = 92,839 × 92,839
  4. Step 4: Simplify right side
    42,734x = 8,619,079,921
  5. Step 5: Solve for x
    x = 8,619,079,921/42,734
  6. Step 6: Final answer
    x = 201,691.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.