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Finding the Third Proportional to 59.91 and 136.48

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Solution

The third proportional to 59.91 and 136.48 is: 310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.91 : 136.48 = 136.48 : x
  2. Step 2: Convert to fraction form
    59.91/136.48 = 136.48/x
  3. Step 3: Cross multiply
    59.91x = 136.48 × 136.48
  4. Step 4: Simplify right side
    59.91x = 18,625.85
  5. Step 5: Solve for x
    x = 18,625.85/59.91
  6. Step 6: Final answer
    x = 310.92

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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.