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Finding the Third Proportional to 106.63 and 154.25

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Solution

The third proportional to 106.63 and 154.25 is: 223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.63 : 154.25 = 154.25 : x
  2. Step 2: Convert to fraction form
    106.63/154.25 = 154.25/x
  3. Step 3: Cross multiply
    106.63x = 154.25 × 154.25
  4. Step 4: Simplify right side
    106.63x = 23,793.06
  5. Step 5: Solve for x
    x = 23,793.06/106.63
  6. Step 6: Final answer
    x = 223.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.