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Finding the Third Proportional to 120 and 183

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Solution

The third proportional to 120 and 183 is: 279.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 183 = 183 : x
  2. Step 2: Convert to fraction form
    120/183 = 183/x
  3. Step 3: Cross multiply
    120x = 183 × 183
  4. Step 4: Simplify right side
    120x = 33,489
  5. Step 5: Solve for x
    x = 33,489/120
  6. Step 6: Final answer
    x = 279.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.