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Finding the Third Proportional to 122,046.75 and 182,418.75

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Solution

The third proportional to 122,046.75 and 182,418.75 is: 272,654.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,046.75 : 182,418.75 = 182,418.75 : x
  2. Step 2: Convert to fraction form
    122,046.75/182,418.75 = 182,418.75/x
  3. Step 3: Cross multiply
    122,046.75x = 182,418.75 × 182,418.75
  4. Step 4: Simplify right side
    122,046.75x = 33,276,600,351.56
  5. Step 5: Solve for x
    x = 33,276,600,351.56/122,046.75
  6. Step 6: Final answer
    x = 272,654.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.