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Finding the Third Proportional to 120.75 and 182.25

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Solution

The third proportional to 120.75 and 182.25 is: 275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.75 : 182.25 = 182.25 : x
  2. Step 2: Convert to fraction form
    120.75/182.25 = 182.25/x
  3. Step 3: Cross multiply
    120.75x = 182.25 × 182.25
  4. Step 4: Simplify right side
    120.75x = 33,215.06
  5. Step 5: Solve for x
    x = 33,215.06/120.75
  6. Step 6: Final answer
    x = 275.07

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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.