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Finding the Third Proportional to 44,052 and 67,110

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Solution

The third proportional to 44,052 and 67,110 is: 102,237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,052 : 67,110 = 67,110 : x
  2. Step 2: Convert to fraction form
    44,052/67,110 = 67,110/x
  3. Step 3: Cross multiply
    44,052x = 67,110 × 67,110
  4. Step 4: Simplify right side
    44,052x = 4,503,752,100
  5. Step 5: Solve for x
    x = 4,503,752,100/44,052
  6. Step 6: Final answer
    x = 102,237.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.