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Finding the Third Proportional to 85.22 and 122.34

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Solution

The third proportional to 85.22 and 122.34 is: 175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.22 : 122.34 = 122.34 : x
  2. Step 2: Convert to fraction form
    85.22/122.34 = 122.34/x
  3. Step 3: Cross multiply
    85.22x = 122.34 × 122.34
  4. Step 4: Simplify right side
    85.22x = 14,967.99
  5. Step 5: Solve for x
    x = 14,967.99/85.22
  6. Step 6: Final answer
    x = 175.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.