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Finding the Third Proportional to 137.56 and 201.13

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Solution

The third proportional to 137.56 and 201.13 is: 294.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.56 : 201.13 = 201.13 : x
  2. Step 2: Convert to fraction form
    137.56/201.13 = 201.13/x
  3. Step 3: Cross multiply
    137.56x = 201.13 × 201.13
  4. Step 4: Simplify right side
    137.56x = 40,451.27
  5. Step 5: Solve for x
    x = 40,451.27/137.56
  6. Step 6: Final answer
    x = 294.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.