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Finding the Third Proportional to 64.23 and 95.96

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Solution

The third proportional to 64.23 and 95.96 is: 143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.23 : 95.96 = 95.96 : x
  2. Step 2: Convert to fraction form
    64.23/95.96 = 95.96/x
  3. Step 3: Cross multiply
    64.23x = 95.96 × 95.96
  4. Step 4: Simplify right side
    64.23x = 9,208.50
  5. Step 5: Solve for x
    x = 9,208.50/64.23
  6. Step 6: Final answer
    x = 143.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.