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Finding the Third Proportional to 86.91 and 110.25

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Solution

The third proportional to 86.91 and 110.25 is: 139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.91 : 110.25 = 110.25 : x
  2. Step 2: Convert to fraction form
    86.91/110.25 = 110.25/x
  3. Step 3: Cross multiply
    86.91x = 110.25 × 110.25
  4. Step 4: Simplify right side
    86.91x = 12,155.06
  5. Step 5: Solve for x
    x = 12,155.06/86.91
  6. Step 6: Final answer
    x = 139.86

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.