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Finding the Third Proportional to 50,904 and 110,520

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Solution

The third proportional to 50,904 and 110,520 is: 239,955.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,904 : 110,520 = 110,520 : x
  2. Step 2: Convert to fraction form
    50,904/110,520 = 110,520/x
  3. Step 3: Cross multiply
    50,904x = 110,520 × 110,520
  4. Step 4: Simplify right side
    50,904x = 12,214,670,400
  5. Step 5: Solve for x
    x = 12,214,670,400/50,904
  6. Step 6: Final answer
    x = 239,955.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.