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Finding the Third Proportional to 67,284 and 104,166

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Solution

The third proportional to 67,284 and 104,166 is: 161,265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,284 : 104,166 = 104,166 : x
  2. Step 2: Convert to fraction form
    67,284/104,166 = 104,166/x
  3. Step 3: Cross multiply
    67,284x = 104,166 × 104,166
  4. Step 4: Simplify right side
    67,284x = 10,850,555,556
  5. Step 5: Solve for x
    x = 10,850,555,556/67,284
  6. Step 6: Final answer
    x = 161,265.02

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