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Finding the Third Proportional to 112.32 and 150.45

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Solution

The third proportional to 112.32 and 150.45 is: 201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.32 : 150.45 = 150.45 : x
  2. Step 2: Convert to fraction form
    112.32/150.45 = 150.45/x
  3. Step 3: Cross multiply
    112.32x = 150.45 × 150.45
  4. Step 4: Simplify right side
    112.32x = 22,635.56
  5. Step 5: Solve for x
    x = 22,635.56/112.32
  6. Step 6: Final answer
    x = 201.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.