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Finding the Third Proportional to 41,050 and 66,111

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Solution

The third proportional to 41,050 and 66,111 is: 106,471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,050 : 66,111 = 66,111 : x
  2. Step 2: Convert to fraction form
    41,050/66,111 = 66,111/x
  3. Step 3: Cross multiply
    41,050x = 66,111 × 66,111
  4. Step 4: Simplify right side
    41,050x = 4,370,664,321
  5. Step 5: Solve for x
    x = 4,370,664,321/41,050
  6. Step 6: Final answer
    x = 106,471.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.