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Finding the Third Proportional to 57,961.97 and 122,151.09

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Solution

The third proportional to 57,961.97 and 122,151.09 is: 257,425.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,961.97 : 122,151.09 = 122,151.09 : x
  2. Step 2: Convert to fraction form
    57,961.97/122,151.09 = 122,151.09/x
  3. Step 3: Cross multiply
    57,961.97x = 122,151.09 × 122,151.09
  4. Step 4: Simplify right side
    57,961.97x = 14,920,889,704.32
  5. Step 5: Solve for x
    x = 14,920,889,704.32/57,961.97
  6. Step 6: Final answer
    x = 257,425.52

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.