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Finding the Third Proportional to 55.41 and 121.64

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Solution

The third proportional to 55.41 and 121.64 is: 267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.41 : 121.64 = 121.64 : x
  2. Step 2: Convert to fraction form
    55.41/121.64 = 121.64/x
  3. Step 3: Cross multiply
    55.41x = 121.64 × 121.64
  4. Step 4: Simplify right side
    55.41x = 14,796.44
  5. Step 5: Solve for x
    x = 14,796.44/55.41
  6. Step 6: Final answer
    x = 267.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.