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Finding the Third Proportional to 97.41 and 151.97

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Solution

The third proportional to 97.41 and 151.97 is: 237.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.41 : 151.97 = 151.97 : x
  2. Step 2: Convert to fraction form
    97.41/151.97 = 151.97/x
  3. Step 3: Cross multiply
    97.41x = 151.97 × 151.97
  4. Step 4: Simplify right side
    97.41x = 23,094.50
  5. Step 5: Solve for x
    x = 23,094.50/97.41
  6. Step 6: Final answer
    x = 237.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.