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Finding the Third Proportional to 57,978 and 122,180

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Solution

The third proportional to 57,978 and 122,180 is: 257,476.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,978 : 122,180 = 122,180 : x
  2. Step 2: Convert to fraction form
    57,978/122,180 = 122,180/x
  3. Step 3: Cross multiply
    57,978x = 122,180 × 122,180
  4. Step 4: Simplify right side
    57,978x = 14,927,952,400
  5. Step 5: Solve for x
    x = 14,927,952,400/57,978
  6. Step 6: Final answer
    x = 257,476.15

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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.