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Finding the Third Proportional to 50,116 and 70,494

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Solution

The third proportional to 50,116 and 70,494 is: 99,158.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,116 : 70,494 = 70,494 : x
  2. Step 2: Convert to fraction form
    50,116/70,494 = 70,494/x
  3. Step 3: Cross multiply
    50,116x = 70,494 × 70,494
  4. Step 4: Simplify right side
    50,116x = 4,969,404,036
  5. Step 5: Solve for x
    x = 4,969,404,036/50,116
  6. Step 6: Final answer
    x = 99,158.03

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.