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Finding the Third Proportional to 120.03 and 162.17

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Solution

The third proportional to 120.03 and 162.17 is: 219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.03 : 162.17 = 162.17 : x
  2. Step 2: Convert to fraction form
    120.03/162.17 = 162.17/x
  3. Step 3: Cross multiply
    120.03x = 162.17 × 162.17
  4. Step 4: Simplify right side
    120.03x = 26,298.85
  5. Step 5: Solve for x
    x = 26,298.85/120.03
  6. Step 6: Final answer
    x = 219.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.