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Finding the Third Proportional to 103.86 and 162.95

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Solution

The third proportional to 103.86 and 162.95 is: 255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.86 : 162.95 = 162.95 : x
  2. Step 2: Convert to fraction form
    103.86/162.95 = 162.95/x
  3. Step 3: Cross multiply
    103.86x = 162.95 × 162.95
  4. Step 4: Simplify right side
    103.86x = 26,552.45
  5. Step 5: Solve for x
    x = 26,552.45/103.86
  6. Step 6: Final answer
    x = 255.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.