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Finding the Third Proportional to 97.56 and 146.07

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Solution

The third proportional to 97.56 and 146.07 is: 218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.56 : 146.07 = 146.07 : x
  2. Step 2: Convert to fraction form
    97.56/146.07 = 146.07/x
  3. Step 3: Cross multiply
    97.56x = 146.07 × 146.07
  4. Step 4: Simplify right side
    97.56x = 21,337.68
  5. Step 5: Solve for x
    x = 21,337.68/97.56
  6. Step 6: Final answer
    x = 218.72

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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.