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Finding the Third Proportional to 104.41 and 151.99

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Solution

The third proportional to 104.41 and 151.99 is: 221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.41 : 151.99 = 151.99 : x
  2. Step 2: Convert to fraction form
    104.41/151.99 = 151.99/x
  3. Step 3: Cross multiply
    104.41x = 151.99 × 151.99
  4. Step 4: Simplify right side
    104.41x = 23,102.07
  5. Step 5: Solve for x
    x = 23,102.07/104.41
  6. Step 6: Final answer
    x = 221.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.