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Finding the Third Proportional to 62.23 and 133.95

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Solution

The third proportional to 62.23 and 133.95 is: 288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.23 : 133.95 = 133.95 : x
  2. Step 2: Convert to fraction form
    62.23/133.95 = 133.95/x
  3. Step 3: Cross multiply
    62.23x = 133.95 × 133.95
  4. Step 4: Simplify right side
    62.23x = 17,941.35
  5. Step 5: Solve for x
    x = 17,941.35/62.23
  6. Step 6: Final answer
    x = 288.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.