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Finding the Third Proportional to 53.81 and 136.13

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Solution

The third proportional to 53.81 and 136.13 is: 344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.81 : 136.13 = 136.13 : x
  2. Step 2: Convert to fraction form
    53.81/136.13 = 136.13/x
  3. Step 3: Cross multiply
    53.81x = 136.13 × 136.13
  4. Step 4: Simplify right side
    53.81x = 18,530.02
  5. Step 5: Solve for x
    x = 18,530.02/53.81
  6. Step 6: Final answer
    x = 344.34

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.