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Finding the Third Proportional to 41,854 and 92,002

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Solution

The third proportional to 41,854 and 92,002 is: 202,235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,854 : 92,002 = 92,002 : x
  2. Step 2: Convert to fraction form
    41,854/92,002 = 92,002/x
  3. Step 3: Cross multiply
    41,854x = 92,002 × 92,002
  4. Step 4: Simplify right side
    41,854x = 8,464,368,004
  5. Step 5: Solve for x
    x = 8,464,368,004/41,854
  6. Step 6: Final answer
    x = 202,235.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.