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Finding the Third Proportional to 72.75 and 160.75

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Solution

The third proportional to 72.75 and 160.75 is: 355.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.75 : 160.75 = 160.75 : x
  2. Step 2: Convert to fraction form
    72.75/160.75 = 160.75/x
  3. Step 3: Cross multiply
    72.75x = 160.75 × 160.75
  4. Step 4: Simplify right side
    72.75x = 25,840.56
  5. Step 5: Solve for x
    x = 25,840.56/72.75
  6. Step 6: Final answer
    x = 355.20

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.