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Finding the Third Proportional to 57.47 and 136.27

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Solution

The third proportional to 57.47 and 136.27 is: 323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.47 : 136.27 = 136.27 : x
  2. Step 2: Convert to fraction form
    57.47/136.27 = 136.27/x
  3. Step 3: Cross multiply
    57.47x = 136.27 × 136.27
  4. Step 4: Simplify right side
    57.47x = 18,568.32
  5. Step 5: Solve for x
    x = 18,568.32/57.47
  6. Step 6: Final answer
    x = 323.10

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.