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Finding the Third Proportional to 89.75 and 139.19

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Solution

The third proportional to 89.75 and 139.19 is: 215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.75 : 139.19 = 139.19 : x
  2. Step 2: Convert to fraction form
    89.75/139.19 = 139.19/x
  3. Step 3: Cross multiply
    89.75x = 139.19 × 139.19
  4. Step 4: Simplify right side
    89.75x = 19,373.16
  5. Step 5: Solve for x
    x = 19,373.16/89.75
  6. Step 6: Final answer
    x = 215.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.