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Finding the Third Proportional to 112.48 and 168.01

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Solution

The third proportional to 112.48 and 168.01 is: 250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.48 : 168.01 = 168.01 : x
  2. Step 2: Convert to fraction form
    112.48/168.01 = 168.01/x
  3. Step 3: Cross multiply
    112.48x = 168.01 × 168.01
  4. Step 4: Simplify right side
    112.48x = 28,227.94
  5. Step 5: Solve for x
    x = 28,227.94/112.48
  6. Step 6: Final answer
    x = 250.95

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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.