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Finding the Third Proportional to 102 and 171.75

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Solution

The third proportional to 102 and 171.75 is: 289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 171.75 = 171.75 : x
  2. Step 2: Convert to fraction form
    102/171.75 = 171.75/x
  3. Step 3: Cross multiply
    102x = 171.75 × 171.75
  4. Step 4: Simplify right side
    102x = 29,498.06
  5. Step 5: Solve for x
    x = 29,498.06/102
  6. Step 6: Final answer
    x = 289.20

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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.