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Finding the Third Proportional to 122.63 and 158.91

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Solution

The third proportional to 122.63 and 158.91 is: 205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.63 : 158.91 = 158.91 : x
  2. Step 2: Convert to fraction form
    122.63/158.91 = 158.91/x
  3. Step 3: Cross multiply
    122.63x = 158.91 × 158.91
  4. Step 4: Simplify right side
    122.63x = 25,251.20
  5. Step 5: Solve for x
    x = 25,251.20/122.63
  6. Step 6: Final answer
    x = 205.92

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.