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Finding the Third Proportional to 42,519 and 92,692

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Solution

The third proportional to 42,519 and 92,692 is: 202,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,519 : 92,692 = 92,692 : x
  2. Step 2: Convert to fraction form
    42,519/92,692 = 92,692/x
  3. Step 3: Cross multiply
    42,519x = 92,692 × 92,692
  4. Step 4: Simplify right side
    42,519x = 8,591,806,864
  5. Step 5: Solve for x
    x = 8,591,806,864/42,519
  6. Step 6: Final answer
    x = 202,069.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.