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Finding the Third Proportional to 82.69 and 122.34

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Solution

The third proportional to 82.69 and 122.34 is: 181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.69 : 122.34 = 122.34 : x
  2. Step 2: Convert to fraction form
    82.69/122.34 = 122.34/x
  3. Step 3: Cross multiply
    82.69x = 122.34 × 122.34
  4. Step 4: Simplify right side
    82.69x = 14,967.99
  5. Step 5: Solve for x
    x = 14,967.99/82.69
  6. Step 6: Final answer
    x = 181.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.