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Finding the Third Proportional to 101.06 and 154.44

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Solution

The third proportional to 101.06 and 154.44 is: 236.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.06 : 154.44 = 154.44 : x
  2. Step 2: Convert to fraction form
    101.06/154.44 = 154.44/x
  3. Step 3: Cross multiply
    101.06x = 154.44 × 154.44
  4. Step 4: Simplify right side
    101.06x = 23,850.94
  5. Step 5: Solve for x
    x = 23,850.94/101.06
  6. Step 6: Final answer
    x = 236.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.