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Finding the Third Proportional to 64.69 and 97.31

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Solution

The third proportional to 64.69 and 97.31 is: 146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.69 : 97.31 = 97.31 : x
  2. Step 2: Convert to fraction form
    64.69/97.31 = 97.31/x
  3. Step 3: Cross multiply
    64.69x = 97.31 × 97.31
  4. Step 4: Simplify right side
    64.69x = 9,469.72
  5. Step 5: Solve for x
    x = 9,469.72/64.69
  6. Step 6: Final answer
    x = 146.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.