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Finding the Third Proportional to 56.72 and 122.44

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Solution

The third proportional to 56.72 and 122.44 is: 264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.72 : 122.44 = 122.44 : x
  2. Step 2: Convert to fraction form
    56.72/122.44 = 122.44/x
  3. Step 3: Cross multiply
    56.72x = 122.44 × 122.44
  4. Step 4: Simplify right side
    56.72x = 14,990.94
  5. Step 5: Solve for x
    x = 14,990.94/56.72
  6. Step 6: Final answer
    x = 264.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.