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Finding the Third Proportional to 101.16 and 122.44

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Solution

The third proportional to 101.16 and 122.44 is: 148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.16 : 122.44 = 122.44 : x
  2. Step 2: Convert to fraction form
    101.16/122.44 = 122.44/x
  3. Step 3: Cross multiply
    101.16x = 122.44 × 122.44
  4. Step 4: Simplify right side
    101.16x = 14,990.94
  5. Step 5: Solve for x
    x = 14,990.94/101.16
  6. Step 6: Final answer
    x = 148.20

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Why These Related Problems?

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