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Finding the Third Proportional to 86.06 and 154.41

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Solution

The third proportional to 86.06 and 154.41 is: 277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.06 : 154.41 = 154.41 : x
  2. Step 2: Convert to fraction form
    86.06/154.41 = 154.41/x
  3. Step 3: Cross multiply
    86.06x = 154.41 × 154.41
  4. Step 4: Simplify right side
    86.06x = 23,841.29
  5. Step 5: Solve for x
    x = 23,841.29/86.06
  6. Step 6: Final answer
    x = 277.02

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.