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Finding the Third Proportional to 101.06 and 121.88

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Solution

The third proportional to 101.06 and 121.88 is: 146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.06 : 121.88 = 121.88 : x
  2. Step 2: Convert to fraction form
    101.06/121.88 = 121.88/x
  3. Step 3: Cross multiply
    101.06x = 121.88 × 121.88
  4. Step 4: Simplify right side
    101.06x = 14,853.52
  5. Step 5: Solve for x
    x = 14,853.52/101.06
  6. Step 6: Final answer
    x = 146.97

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.