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Finding the Third Proportional to 57,969 and 122,163

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Solution

The third proportional to 57,969 and 122,163 is: 257,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,969 : 122,163 = 122,163 : x
  2. Step 2: Convert to fraction form
    57,969/122,163 = 122,163/x
  3. Step 3: Cross multiply
    57,969x = 122,163 × 122,163
  4. Step 4: Simplify right side
    57,969x = 14,923,798,569
  5. Step 5: Solve for x
    x = 14,923,798,569/57,969
  6. Step 6: Final answer
    x = 257,444.47

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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.