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Finding the Third Proportional to 103.23 and 160.12

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Solution

The third proportional to 103.23 and 160.12 is: 248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.23 : 160.12 = 160.12 : x
  2. Step 2: Convert to fraction form
    103.23/160.12 = 160.12/x
  3. Step 3: Cross multiply
    103.23x = 160.12 × 160.12
  4. Step 4: Simplify right side
    103.23x = 25,638.84
  5. Step 5: Solve for x
    x = 25,638.84/103.23
  6. Step 6: Final answer
    x = 248.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.