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Finding the Third Proportional to 122,046.75 and 185,500.13

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Solution

The third proportional to 122,046.75 and 185,500.13 is: 281,943.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,046.75 : 185,500.13 = 185,500.13 : x
  2. Step 2: Convert to fraction form
    122,046.75/185,500.13 = 185,500.13/x
  3. Step 3: Cross multiply
    122,046.75x = 185,500.13 × 185,500.13
  4. Step 4: Simplify right side
    122,046.75x = 34,410,296,375.02
  5. Step 5: Solve for x
    x = 34,410,296,375.02/122,046.75
  6. Step 6: Final answer
    x = 281,943.57

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.