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Finding the Third Proportional to 42,536 and 91,874

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Solution

The third proportional to 42,536 and 91,874 is: 198,439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,536 : 91,874 = 91,874 : x
  2. Step 2: Convert to fraction form
    42,536/91,874 = 91,874/x
  3. Step 3: Cross multiply
    42,536x = 91,874 × 91,874
  4. Step 4: Simplify right side
    42,536x = 8,440,831,876
  5. Step 5: Solve for x
    x = 8,440,831,876/42,536
  6. Step 6: Final answer
    x = 198,439.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.