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Finding the Third Proportional to 59.25 and 150

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Solution

The third proportional to 59.25 and 150 is: 379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.25 : 150 = 150 : x
  2. Step 2: Convert to fraction form
    59.25/150 = 150/x
  3. Step 3: Cross multiply
    59.25x = 150 × 150
  4. Step 4: Simplify right side
    59.25x = 22,500
  5. Step 5: Solve for x
    x = 22,500/59.25
  6. Step 6: Final answer
    x = 379.75

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.