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Finding the Third Proportional to 67.92 and 145.46

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Solution

The third proportional to 67.92 and 145.46 is: 311.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.92 : 145.46 = 145.46 : x
  2. Step 2: Convert to fraction form
    67.92/145.46 = 145.46/x
  3. Step 3: Cross multiply
    67.92x = 145.46 × 145.46
  4. Step 4: Simplify right side
    67.92x = 21,158.88
  5. Step 5: Solve for x
    x = 21,158.88/67.92
  6. Step 6: Final answer
    x = 311.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.