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Finding the Third Proportional to 116.06 and 151.22

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Solution

The third proportional to 116.06 and 151.22 is: 197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.06 : 151.22 = 151.22 : x
  2. Step 2: Convert to fraction form
    116.06/151.22 = 151.22/x
  3. Step 3: Cross multiply
    116.06x = 151.22 × 151.22
  4. Step 4: Simplify right side
    116.06x = 22,867.11
  5. Step 5: Solve for x
    x = 22,867.11/116.06
  6. Step 6: Final answer
    x = 197.02

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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.