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Finding the Third Proportional to 43,734 and 68,755

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Solution

The third proportional to 43,734 and 68,755 is: 108,090.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,734 : 68,755 = 68,755 : x
  2. Step 2: Convert to fraction form
    43,734/68,755 = 68,755/x
  3. Step 3: Cross multiply
    43,734x = 68,755 × 68,755
  4. Step 4: Simplify right side
    43,734x = 4,727,250,025
  5. Step 5: Solve for x
    x = 4,727,250,025/43,734
  6. Step 6: Final answer
    x = 108,090.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.