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Finding the Third Proportional to 67.45 and 95.48

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Solution

The third proportional to 67.45 and 95.48 is: 135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.45 : 95.48 = 95.48 : x
  2. Step 2: Convert to fraction form
    67.45/95.48 = 95.48/x
  3. Step 3: Cross multiply
    67.45x = 95.48 × 95.48
  4. Step 4: Simplify right side
    67.45x = 9,117.27
  5. Step 5: Solve for x
    x = 9,117.27/67.45
  6. Step 6: Final answer
    x = 135.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.