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Finding the Third Proportional to 108.94 and 170.06

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Solution

The third proportional to 108.94 and 170.06 is: 265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.94 : 170.06 = 170.06 : x
  2. Step 2: Convert to fraction form
    108.94/170.06 = 170.06/x
  3. Step 3: Cross multiply
    108.94x = 170.06 × 170.06
  4. Step 4: Simplify right side
    108.94x = 28,921.25
  5. Step 5: Solve for x
    x = 28,921.25/108.94
  6. Step 6: Final answer
    x = 265.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.