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Finding the Third Proportional to 138.75 and 189

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Solution

The third proportional to 138.75 and 189 is: 257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.75 : 189 = 189 : x
  2. Step 2: Convert to fraction form
    138.75/189 = 189/x
  3. Step 3: Cross multiply
    138.75x = 189 × 189
  4. Step 4: Simplify right side
    138.75x = 35,721
  5. Step 5: Solve for x
    x = 35,721/138.75
  6. Step 6: Final answer
    x = 257.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.