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Finding the Third Proportional to 112.13 and 148.43

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Solution

The third proportional to 112.13 and 148.43 is: 196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.13 : 148.43 = 148.43 : x
  2. Step 2: Convert to fraction form
    112.13/148.43 = 148.43/x
  3. Step 3: Cross multiply
    112.13x = 148.43 × 148.43
  4. Step 4: Simplify right side
    112.13x = 22,032.68
  5. Step 5: Solve for x
    x = 22,032.68/112.13
  6. Step 6: Final answer
    x = 196.50

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.