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Finding the Third Proportional to 122.34 and 173.81

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Solution

The third proportional to 122.34 and 173.81 is: 246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.34 : 173.81 = 173.81 : x
  2. Step 2: Convert to fraction form
    122.34/173.81 = 173.81/x
  3. Step 3: Cross multiply
    122.34x = 173.81 × 173.81
  4. Step 4: Simplify right side
    122.34x = 30,210.79
  5. Step 5: Solve for x
    x = 30,210.79/122.34
  6. Step 6: Final answer
    x = 246.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.