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Finding the Third Proportional to 108.04 and 162.33

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Solution

The third proportional to 108.04 and 162.33 is: 243.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.04 : 162.33 = 162.33 : x
  2. Step 2: Convert to fraction form
    108.04/162.33 = 162.33/x
  3. Step 3: Cross multiply
    108.04x = 162.33 × 162.33
  4. Step 4: Simplify right side
    108.04x = 26,352.32
  5. Step 5: Solve for x
    x = 26,352.32/108.04
  6. Step 6: Final answer
    x = 243.92

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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.