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Finding the Third Proportional to 49,518 and 109,404

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Solution

The third proportional to 49,518 and 109,404 is: 241,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,518 : 109,404 = 109,404 : x
  2. Step 2: Convert to fraction form
    49,518/109,404 = 109,404/x
  3. Step 3: Cross multiply
    49,518x = 109,404 × 109,404
  4. Step 4: Simplify right side
    49,518x = 11,969,235,216
  5. Step 5: Solve for x
    x = 11,969,235,216/49,518
  6. Step 6: Final answer
    x = 241,714.84

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.