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Finding the Third Proportional to 41,741 and 92,813

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Solution

The third proportional to 41,741 and 92,813 is: 206,373.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,741 : 92,813 = 92,813 : x
  2. Step 2: Convert to fraction form
    41,741/92,813 = 92,813/x
  3. Step 3: Cross multiply
    41,741x = 92,813 × 92,813
  4. Step 4: Simplify right side
    41,741x = 8,614,252,969
  5. Step 5: Solve for x
    x = 8,614,252,969/41,741
  6. Step 6: Final answer
    x = 206,373.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.