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Finding the Third Proportional to 77 and 159

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Solution

The third proportional to 77 and 159 is: 328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77 : 159 = 159 : x
  2. Step 2: Convert to fraction form
    77/159 = 159/x
  3. Step 3: Cross multiply
    77x = 159 × 159
  4. Step 4: Simplify right side
    77x = 25,281
  5. Step 5: Solve for x
    x = 25,281/77
  6. Step 6: Final answer
    x = 328.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.