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Finding the Third Proportional to 77 and 157.25

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Solution

The third proportional to 77 and 157.25 is: 321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77 : 157.25 = 157.25 : x
  2. Step 2: Convert to fraction form
    77/157.25 = 157.25/x
  3. Step 3: Cross multiply
    77x = 157.25 × 157.25
  4. Step 4: Simplify right side
    77x = 24,727.56
  5. Step 5: Solve for x
    x = 24,727.56/77
  6. Step 6: Final answer
    x = 321.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.