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Finding the Third Proportional to 89.44 and 131.63

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Solution

The third proportional to 89.44 and 131.63 is: 193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.44 : 131.63 = 131.63 : x
  2. Step 2: Convert to fraction form
    89.44/131.63 = 131.63/x
  3. Step 3: Cross multiply
    89.44x = 131.63 × 131.63
  4. Step 4: Simplify right side
    89.44x = 17,325.14
  5. Step 5: Solve for x
    x = 17,325.14/89.44
  6. Step 6: Final answer
    x = 193.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.