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Finding the Third Proportional to 114.70 and 173.13

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Solution

The third proportional to 114.70 and 173.13 is: 261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.70 : 173.13 = 173.13 : x
  2. Step 2: Convert to fraction form
    114.70/173.13 = 173.13/x
  3. Step 3: Cross multiply
    114.70x = 173.13 × 173.13
  4. Step 4: Simplify right side
    114.70x = 29,974.97
  5. Step 5: Solve for x
    x = 29,974.97/114.70
  6. Step 6: Final answer
    x = 261.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.