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Finding the Third Proportional to 92.15 and 135.03

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Solution

The third proportional to 92.15 and 135.03 is: 197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.15 : 135.03 = 135.03 : x
  2. Step 2: Convert to fraction form
    92.15/135.03 = 135.03/x
  3. Step 3: Cross multiply
    92.15x = 135.03 × 135.03
  4. Step 4: Simplify right side
    92.15x = 18,232.12
  5. Step 5: Solve for x
    x = 18,232.12/92.15
  6. Step 6: Final answer
    x = 197.85

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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.