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Finding the Third Proportional to 104.73 and 160.95

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Solution

The third proportional to 104.73 and 160.95 is: 247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.73 : 160.95 = 160.95 : x
  2. Step 2: Convert to fraction form
    104.73/160.95 = 160.95/x
  3. Step 3: Cross multiply
    104.73x = 160.95 × 160.95
  4. Step 4: Simplify right side
    104.73x = 25,903.39
  5. Step 5: Solve for x
    x = 25,903.39/104.73
  6. Step 6: Final answer
    x = 247.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.