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Finding the Third Proportional to 88.73 and 135.14

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Solution

The third proportional to 88.73 and 135.14 is: 205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.73 : 135.14 = 135.14 : x
  2. Step 2: Convert to fraction form
    88.73/135.14 = 135.14/x
  3. Step 3: Cross multiply
    88.73x = 135.14 × 135.14
  4. Step 4: Simplify right side
    88.73x = 18,262.99
  5. Step 5: Solve for x
    x = 18,262.99/88.73
  6. Step 6: Final answer
    x = 205.82

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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.