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Finding the Third Proportional to 122.98 and 175.71

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Solution

The third proportional to 122.98 and 175.71 is: 251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.98 : 175.71 = 175.71 : x
  2. Step 2: Convert to fraction form
    122.98/175.71 = 175.71/x
  3. Step 3: Cross multiply
    122.98x = 175.71 × 175.71
  4. Step 4: Simplify right side
    122.98x = 30,874.33
  5. Step 5: Solve for x
    x = 30,874.33/122.98
  6. Step 6: Final answer
    x = 251.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.