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Finding the Third Proportional to 72.42 and 154.45

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Solution

The third proportional to 72.42 and 154.45 is: 329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.42 : 154.45 = 154.45 : x
  2. Step 2: Convert to fraction form
    72.42/154.45 = 154.45/x
  3. Step 3: Cross multiply
    72.42x = 154.45 × 154.45
  4. Step 4: Simplify right side
    72.42x = 23,853.51
  5. Step 5: Solve for x
    x = 23,853.51/72.42
  6. Step 6: Final answer
    x = 329.39

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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.