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Finding the Third Proportional to 71.25 and 153.31

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Solution

The third proportional to 71.25 and 153.31 is: 329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.25 : 153.31 = 153.31 : x
  2. Step 2: Convert to fraction form
    71.25/153.31 = 153.31/x
  3. Step 3: Cross multiply
    71.25x = 153.31 × 153.31
  4. Step 4: Simplify right side
    71.25x = 23,504.72
  5. Step 5: Solve for x
    x = 23,504.72/71.25
  6. Step 6: Final answer
    x = 329.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.