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Finding the Third Proportional to 62.67 and 146.44

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Solution

The third proportional to 62.67 and 146.44 is: 342.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.67 : 146.44 = 146.44 : x
  2. Step 2: Convert to fraction form
    62.67/146.44 = 146.44/x
  3. Step 3: Cross multiply
    62.67x = 146.44 × 146.44
  4. Step 4: Simplify right side
    62.67x = 21,445.66
  5. Step 5: Solve for x
    x = 21,445.66/62.67
  6. Step 6: Final answer
    x = 342.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.