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Finding the Third Proportional to 106.63 and 170

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Solution

The third proportional to 106.63 and 170 is: 271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.63 : 170 = 170 : x
  2. Step 2: Convert to fraction form
    106.63/170 = 170/x
  3. Step 3: Cross multiply
    106.63x = 170 × 170
  4. Step 4: Simplify right side
    106.63x = 28,900
  5. Step 5: Solve for x
    x = 28,900/106.63
  6. Step 6: Final answer
    x = 271.04

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.