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Finding the Third Proportional to 67.57 and 143.16

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Solution

The third proportional to 67.57 and 143.16 is: 303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.57 : 143.16 = 143.16 : x
  2. Step 2: Convert to fraction form
    67.57/143.16 = 143.16/x
  3. Step 3: Cross multiply
    67.57x = 143.16 × 143.16
  4. Step 4: Simplify right side
    67.57x = 20,493.71
  5. Step 5: Solve for x
    x = 20,493.71/67.57
  6. Step 6: Final answer
    x = 303.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.