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Finding the Third Proportional to 57,059 and 115,845

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Solution

The third proportional to 57,059 and 115,845 is: 235,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,059 : 115,845 = 115,845 : x
  2. Step 2: Convert to fraction form
    57,059/115,845 = 115,845/x
  3. Step 3: Cross multiply
    57,059x = 115,845 × 115,845
  4. Step 4: Simplify right side
    57,059x = 13,420,064,025
  5. Step 5: Solve for x
    x = 13,420,064,025/57,059
  6. Step 6: Final answer
    x = 235,196.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.