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Finding the Third Proportional to 50,116 and 110,600

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Solution

The third proportional to 50,116 and 110,600 is: 244,080.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,116 : 110,600 = 110,600 : x
  2. Step 2: Convert to fraction form
    50,116/110,600 = 110,600/x
  3. Step 3: Cross multiply
    50,116x = 110,600 × 110,600
  4. Step 4: Simplify right side
    50,116x = 12,232,360,000
  5. Step 5: Solve for x
    x = 12,232,360,000/50,116
  6. Step 6: Final answer
    x = 244,080.93

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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.