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Finding the Third Proportional to 43,542 and 92,781

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Solution

The third proportional to 43,542 and 92,781 is: 197,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,542 : 92,781 = 92,781 : x
  2. Step 2: Convert to fraction form
    43,542/92,781 = 92,781/x
  3. Step 3: Cross multiply
    43,542x = 92,781 × 92,781
  4. Step 4: Simplify right side
    43,542x = 8,608,313,961
  5. Step 5: Solve for x
    x = 8,608,313,961/43,542
  6. Step 6: Final answer
    x = 197,701.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.