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Finding the Third Proportional to 88.94 and 140.75

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Solution

The third proportional to 88.94 and 140.75 is: 222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.94 : 140.75 = 140.75 : x
  2. Step 2: Convert to fraction form
    88.94/140.75 = 140.75/x
  3. Step 3: Cross multiply
    88.94x = 140.75 × 140.75
  4. Step 4: Simplify right side
    88.94x = 19,810.56
  5. Step 5: Solve for x
    x = 19,810.56/88.94
  6. Step 6: Final answer
    x = 222.75

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.