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Finding the Third Proportional to 133.00 and 195.01

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Solution

The third proportional to 133.00 and 195.01 is: 285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.00 : 195.01 = 195.01 : x
  2. Step 2: Convert to fraction form
    133.00/195.01 = 195.01/x
  3. Step 3: Cross multiply
    133.00x = 195.01 × 195.01
  4. Step 4: Simplify right side
    133.00x = 38,029.57
  5. Step 5: Solve for x
    x = 38,029.57/133.00
  6. Step 6: Final answer
    x = 285.95

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