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Finding the Third Proportional to 137.75 and 189.63

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Solution

The third proportional to 137.75 and 189.63 is: 261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.75 : 189.63 = 189.63 : x
  2. Step 2: Convert to fraction form
    137.75/189.63 = 189.63/x
  3. Step 3: Cross multiply
    137.75x = 189.63 × 189.63
  4. Step 4: Simplify right side
    137.75x = 35,957.64
  5. Step 5: Solve for x
    x = 35,957.64/137.75
  6. Step 6: Final answer
    x = 261.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.