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Finding the Third Proportional to 137.11 and 203.77

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Solution

The third proportional to 137.11 and 203.77 is: 302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.11 : 203.77 = 203.77 : x
  2. Step 2: Convert to fraction form
    137.11/203.77 = 203.77/x
  3. Step 3: Cross multiply
    137.11x = 203.77 × 203.77
  4. Step 4: Simplify right side
    137.11x = 41,520.43
  5. Step 5: Solve for x
    x = 41,520.43/137.11
  6. Step 6: Final answer
    x = 302.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.