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Finding the Third Proportional to 104.18 and 162.08

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Solution

The third proportional to 104.18 and 162.08 is: 252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.18 : 162.08 = 162.08 : x
  2. Step 2: Convert to fraction form
    104.18/162.08 = 162.08/x
  3. Step 3: Cross multiply
    104.18x = 162.08 × 162.08
  4. Step 4: Simplify right side
    104.18x = 26,269.64
  5. Step 5: Solve for x
    x = 26,269.64/104.18
  6. Step 6: Final answer
    x = 252.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.