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Finding the Third Proportional to 86.73 and 139.71

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Solution

The third proportional to 86.73 and 139.71 is: 225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.73 : 139.71 = 139.71 : x
  2. Step 2: Convert to fraction form
    86.73/139.71 = 139.71/x
  3. Step 3: Cross multiply
    86.73x = 139.71 × 139.71
  4. Step 4: Simplify right side
    86.73x = 19,519.15
  5. Step 5: Solve for x
    x = 19,519.15/86.73
  6. Step 6: Final answer
    x = 225.06

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.