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Finding the Third Proportional to 102 and 173

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Solution

The third proportional to 102 and 173 is: 293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 173 = 173 : x
  2. Step 2: Convert to fraction form
    102/173 = 173/x
  3. Step 3: Cross multiply
    102x = 173 × 173
  4. Step 4: Simplify right side
    102x = 29,929
  5. Step 5: Solve for x
    x = 29,929/102
  6. Step 6: Final answer
    x = 293.42

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.