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Finding the Third Proportional to 95.06 and 201.38

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Solution

The third proportional to 95.06 and 201.38 is: 426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.06 : 201.38 = 201.38 : x
  2. Step 2: Convert to fraction form
    95.06/201.38 = 201.38/x
  3. Step 3: Cross multiply
    95.06x = 201.38 × 201.38
  4. Step 4: Simplify right side
    95.06x = 40,551.89
  5. Step 5: Solve for x
    x = 40,551.89/95.06
  6. Step 6: Final answer
    x = 426.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.