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Finding the Third Proportional to 50,116 and 70,496

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Solution

The third proportional to 50,116 and 70,496 is: 99,163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,116 : 70,496 = 70,496 : x
  2. Step 2: Convert to fraction form
    50,116/70,496 = 70,496/x
  3. Step 3: Cross multiply
    50,116x = 70,496 × 70,496
  4. Step 4: Simplify right side
    50,116x = 4,969,686,016
  5. Step 5: Solve for x
    x = 4,969,686,016/50,116
  6. Step 6: Final answer
    x = 99,163.66

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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.