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Finding the Third Proportional to 104.02 and 149.84

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Solution

The third proportional to 104.02 and 149.84 is: 215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.02 : 149.84 = 149.84 : x
  2. Step 2: Convert to fraction form
    104.02/149.84 = 149.84/x
  3. Step 3: Cross multiply
    104.02x = 149.84 × 149.84
  4. Step 4: Simplify right side
    104.02x = 22,450.81
  5. Step 5: Solve for x
    x = 22,450.81/104.02
  6. Step 6: Final answer
    x = 215.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.