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Finding the Third Proportional to 97.31 and 146.09

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Solution

The third proportional to 97.31 and 146.09 is: 219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.31 : 146.09 = 146.09 : x
  2. Step 2: Convert to fraction form
    97.31/146.09 = 146.09/x
  3. Step 3: Cross multiply
    97.31x = 146.09 × 146.09
  4. Step 4: Simplify right side
    97.31x = 21,341.10
  5. Step 5: Solve for x
    x = 21,341.10/97.31
  6. Step 6: Final answer
    x = 219.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.