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Finding the Third Proportional to 89.25 and 136.94

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Solution

The third proportional to 89.25 and 136.94 is: 210.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.25 : 136.94 = 136.94 : x
  2. Step 2: Convert to fraction form
    89.25/136.94 = 136.94/x
  3. Step 3: Cross multiply
    89.25x = 136.94 × 136.94
  4. Step 4: Simplify right side
    89.25x = 18,751.88
  5. Step 5: Solve for x
    x = 18,751.88/89.25
  6. Step 6: Final answer
    x = 210.11

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.