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Finding the Third Proportional to 67 and 142.63

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Solution

The third proportional to 67 and 142.63 is: 303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67 : 142.63 = 142.63 : x
  2. Step 2: Convert to fraction form
    67/142.63 = 142.63/x
  3. Step 3: Cross multiply
    67x = 142.63 × 142.63
  4. Step 4: Simplify right side
    67x = 20,341.89
  5. Step 5: Solve for x
    x = 20,341.89/67
  6. Step 6: Final answer
    x = 303.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.