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Finding the Third Proportional to 67.15 and 145.56

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Solution

The third proportional to 67.15 and 145.56 is: 315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.15 : 145.56 = 145.56 : x
  2. Step 2: Convert to fraction form
    67.15/145.56 = 145.56/x
  3. Step 3: Cross multiply
    67.15x = 145.56 × 145.56
  4. Step 4: Simplify right side
    67.15x = 21,189.01
  5. Step 5: Solve for x
    x = 21,189.01/67.15
  6. Step 6: Final answer
    x = 315.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.