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Finding the Third Proportional to 97.50 and 107

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Solution

The third proportional to 97.50 and 107 is: 117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.50 : 107 = 107 : x
  2. Step 2: Convert to fraction form
    97.50/107 = 107/x
  3. Step 3: Cross multiply
    97.50x = 107 × 107
  4. Step 4: Simplify right side
    97.50x = 11,449
  5. Step 5: Solve for x
    x = 11,449/97.50
  6. Step 6: Final answer
    x = 117.43

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.