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Finding the Third Proportional to 92.75 and 201.81

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Solution

The third proportional to 92.75 and 201.81 is: 439.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.75 : 201.81 = 201.81 : x
  2. Step 2: Convert to fraction form
    92.75/201.81 = 201.81/x
  3. Step 3: Cross multiply
    92.75x = 201.81 × 201.81
  4. Step 4: Simplify right side
    92.75x = 40,728.29
  5. Step 5: Solve for x
    x = 40,728.29/92.75
  6. Step 6: Final answer
    x = 439.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.