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Finding the Third Proportional to 110.81 and 170.06

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Solution

The third proportional to 110.81 and 170.06 is: 260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.81 : 170.06 = 170.06 : x
  2. Step 2: Convert to fraction form
    110.81/170.06 = 170.06/x
  3. Step 3: Cross multiply
    110.81x = 170.06 × 170.06
  4. Step 4: Simplify right side
    110.81x = 28,921.25
  5. Step 5: Solve for x
    x = 28,921.25/110.81
  6. Step 6: Final answer
    x = 260.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.