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Finding the Third Proportional to 103.84 and 156.06

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Solution

The third proportional to 103.84 and 156.06 is: 234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.84 : 156.06 = 156.06 : x
  2. Step 2: Convert to fraction form
    103.84/156.06 = 156.06/x
  3. Step 3: Cross multiply
    103.84x = 156.06 × 156.06
  4. Step 4: Simplify right side
    103.84x = 24,355.50
  5. Step 5: Solve for x
    x = 24,355.50/103.84
  6. Step 6: Final answer
    x = 234.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.