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Finding the Third Proportional to 122.45 and 189.11

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Solution

The third proportional to 122.45 and 189.11 is: 292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.45 : 189.11 = 189.11 : x
  2. Step 2: Convert to fraction form
    122.45/189.11 = 189.11/x
  3. Step 3: Cross multiply
    122.45x = 189.11 × 189.11
  4. Step 4: Simplify right side
    122.45x = 35,760.88
  5. Step 5: Solve for x
    x = 35,760.88/122.45
  6. Step 6: Final answer
    x = 292.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.