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Finding the Third Proportional to 97.29 and 150.45

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Solution

The third proportional to 97.29 and 150.45 is: 232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.29 : 150.45 = 150.45 : x
  2. Step 2: Convert to fraction form
    97.29/150.45 = 150.45/x
  3. Step 3: Cross multiply
    97.29x = 150.45 × 150.45
  4. Step 4: Simplify right side
    97.29x = 22,635.56
  5. Step 5: Solve for x
    x = 22,635.56/97.29
  6. Step 6: Final answer
    x = 232.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.