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Finding the Third Proportional to 55,165 and 82,729.50

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Solution

The third proportional to 55,165 and 82,729.50 is: 124,067.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,165 : 82,729.50 = 82,729.50 : x
  2. Step 2: Convert to fraction form
    55,165/82,729.50 = 82,729.50/x
  3. Step 3: Cross multiply
    55,165x = 82,729.50 × 82,729.50
  4. Step 4: Simplify right side
    55,165x = 6,844,170,170.25
  5. Step 5: Solve for x
    x = 6,844,170,170.25/55,165
  6. Step 6: Final answer
    x = 124,067.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.