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Finding the Third Proportional to 107.37 and 160.77

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Solution

The third proportional to 107.37 and 160.77 is: 240.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.37 : 160.77 = 160.77 : x
  2. Step 2: Convert to fraction form
    107.37/160.77 = 160.77/x
  3. Step 3: Cross multiply
    107.37x = 160.77 × 160.77
  4. Step 4: Simplify right side
    107.37x = 25,846.84
  5. Step 5: Solve for x
    x = 25,846.84/107.37
  6. Step 6: Final answer
    x = 240.73

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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.