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Finding the Third Proportional to 42,104 and 92,992

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Solution

The third proportional to 42,104 and 92,992 is: 205,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,104 : 92,992 = 92,992 : x
  2. Step 2: Convert to fraction form
    42,104/92,992 = 92,992/x
  3. Step 3: Cross multiply
    42,104x = 92,992 × 92,992
  4. Step 4: Simplify right side
    42,104x = 8,647,512,064
  5. Step 5: Solve for x
    x = 8,647,512,064/42,104
  6. Step 6: Final answer
    x = 205,384.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.