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Finding the Third Proportional to 121.69 and 266.06

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Solution

The third proportional to 121.69 and 266.06 is: 581.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.69 : 266.06 = 266.06 : x
  2. Step 2: Convert to fraction form
    121.69/266.06 = 266.06/x
  3. Step 3: Cross multiply
    121.69x = 266.06 × 266.06
  4. Step 4: Simplify right side
    121.69x = 70,789.25
  5. Step 5: Solve for x
    x = 70,789.25/121.69
  6. Step 6: Final answer
    x = 581.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.