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Finding the Third Proportional to 122.13 and 185.73

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Solution

The third proportional to 122.13 and 185.73 is: 282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.13 : 185.73 = 185.73 : x
  2. Step 2: Convert to fraction form
    122.13/185.73 = 185.73/x
  3. Step 3: Cross multiply
    122.13x = 185.73 × 185.73
  4. Step 4: Simplify right side
    122.13x = 34,495.81
  5. Step 5: Solve for x
    x = 34,495.81/122.13
  6. Step 6: Final answer
    x = 282.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.