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Finding the Third Proportional to 57,738 and 122,766

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Solution

The third proportional to 57,738 and 122,766 is: 261,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,738 : 122,766 = 122,766 : x
  2. Step 2: Convert to fraction form
    57,738/122,766 = 122,766/x
  3. Step 3: Cross multiply
    57,738x = 122,766 × 122,766
  4. Step 4: Simplify right side
    57,738x = 15,071,490,756
  5. Step 5: Solve for x
    x = 15,071,490,756/57,738
  6. Step 6: Final answer
    x = 261,032.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.