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Finding the Third Proportional to 89.88 and 116.69

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Solution

The third proportional to 89.88 and 116.69 is: 151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.88 : 116.69 = 116.69 : x
  2. Step 2: Convert to fraction form
    89.88/116.69 = 116.69/x
  3. Step 3: Cross multiply
    89.88x = 116.69 × 116.69
  4. Step 4: Simplify right side
    89.88x = 13,615.97
  5. Step 5: Solve for x
    x = 13,615.97/89.88
  6. Step 6: Final answer
    x = 151.50

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.