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Finding the Third Proportional to 44,743 and 67,111

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Solution

The third proportional to 44,743 and 67,111 is: 100,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,743 : 67,111 = 67,111 : x
  2. Step 2: Convert to fraction form
    44,743/67,111 = 67,111/x
  3. Step 3: Cross multiply
    44,743x = 67,111 × 67,111
  4. Step 4: Simplify right side
    44,743x = 4,503,886,321
  5. Step 5: Solve for x
    x = 4,503,886,321/44,743
  6. Step 6: Final answer
    x = 100,661.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.