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Finding the Third Proportional to 75 and 138.75

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Solution

The third proportional to 75 and 138.75 is: 256.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 138.75 = 138.75 : x
  2. Step 2: Convert to fraction form
    75/138.75 = 138.75/x
  3. Step 3: Cross multiply
    75x = 138.75 × 138.75
  4. Step 4: Simplify right side
    75x = 19,251.56
  5. Step 5: Solve for x
    x = 19,251.56/75
  6. Step 6: Final answer
    x = 256.69

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.