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Finding the Third Proportional to 56.39 and 136.41

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Solution

The third proportional to 56.39 and 136.41 is: 329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.39 : 136.41 = 136.41 : x
  2. Step 2: Convert to fraction form
    56.39/136.41 = 136.41/x
  3. Step 3: Cross multiply
    56.39x = 136.41 × 136.41
  4. Step 4: Simplify right side
    56.39x = 18,606.67
  5. Step 5: Solve for x
    x = 18,606.67/56.39
  6. Step 6: Final answer
    x = 329.96

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.