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Finding the Third Proportional to 70.72 and 154.72

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Solution

The third proportional to 70.72 and 154.72 is: 338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.72 : 154.72 = 154.72 : x
  2. Step 2: Convert to fraction form
    70.72/154.72 = 154.72/x
  3. Step 3: Cross multiply
    70.72x = 154.72 × 154.72
  4. Step 4: Simplify right side
    70.72x = 23,939.10
  5. Step 5: Solve for x
    x = 23,939.10/70.72
  6. Step 6: Final answer
    x = 338.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.