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Finding the Third Proportional to 34,267 and 74,761

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Solution

The third proportional to 34,267 and 74,761 is: 163,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,267 : 74,761 = 74,761 : x
  2. Step 2: Convert to fraction form
    34,267/74,761 = 74,761/x
  3. Step 3: Cross multiply
    34,267x = 74,761 × 74,761
  4. Step 4: Simplify right side
    34,267x = 5,589,207,121
  5. Step 5: Solve for x
    x = 5,589,207,121/34,267
  6. Step 6: Final answer
    x = 163,107.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.