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Finding the Third Proportional to 95.02 and 137.30

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Solution

The third proportional to 95.02 and 137.30 is: 198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.02 : 137.30 = 137.30 : x
  2. Step 2: Convert to fraction form
    95.02/137.30 = 137.30/x
  3. Step 3: Cross multiply
    95.02x = 137.30 × 137.30
  4. Step 4: Simplify right side
    95.02x = 18,850.43
  5. Step 5: Solve for x
    x = 18,850.43/95.02
  6. Step 6: Final answer
    x = 198.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.