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Finding the Third Proportional to 107.98 and 166.76

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Solution

The third proportional to 107.98 and 166.76 is: 257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.98 : 166.76 = 166.76 : x
  2. Step 2: Convert to fraction form
    107.98/166.76 = 166.76/x
  3. Step 3: Cross multiply
    107.98x = 166.76 × 166.76
  4. Step 4: Simplify right side
    107.98x = 27,808.17
  5. Step 5: Solve for x
    x = 27,808.17/107.98
  6. Step 6: Final answer
    x = 257.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.