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Finding the Third Proportional to 120.23 and 181.62

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Solution

The third proportional to 120.23 and 181.62 is: 274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.23 : 181.62 = 181.62 : x
  2. Step 2: Convert to fraction form
    120.23/181.62 = 181.62/x
  3. Step 3: Cross multiply
    120.23x = 181.62 × 181.62
  4. Step 4: Simplify right side
    120.23x = 32,984.80
  5. Step 5: Solve for x
    x = 32,984.80/120.23
  6. Step 6: Final answer
    x = 274.34

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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.