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Finding the Third Proportional to 63.75 and 145.31

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Solution

The third proportional to 63.75 and 145.31 is: 331.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.75 : 145.31 = 145.31 : x
  2. Step 2: Convert to fraction form
    63.75/145.31 = 145.31/x
  3. Step 3: Cross multiply
    63.75x = 145.31 × 145.31
  4. Step 4: Simplify right side
    63.75x = 21,115.72
  5. Step 5: Solve for x
    x = 21,115.72/63.75
  6. Step 6: Final answer
    x = 331.23

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.