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Finding the Third Proportional to 89.94 and 122.72

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Solution

The third proportional to 89.94 and 122.72 is: 167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.94 : 122.72 = 122.72 : x
  2. Step 2: Convert to fraction form
    89.94/122.72 = 122.72/x
  3. Step 3: Cross multiply
    89.94x = 122.72 × 122.72
  4. Step 4: Simplify right side
    89.94x = 15,059.89
  5. Step 5: Solve for x
    x = 15,059.89/89.94
  6. Step 6: Final answer
    x = 167.45

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.