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Finding the Third Proportional to 91.44 and 137.32

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Solution

The third proportional to 91.44 and 137.32 is: 206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.44 : 137.32 = 137.32 : x
  2. Step 2: Convert to fraction form
    91.44/137.32 = 137.32/x
  3. Step 3: Cross multiply
    91.44x = 137.32 × 137.32
  4. Step 4: Simplify right side
    91.44x = 18,856.87
  5. Step 5: Solve for x
    x = 18,856.87/91.44
  6. Step 6: Final answer
    x = 206.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.