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Finding the Third Proportional to 50,504 and 70,814

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Solution

The third proportional to 50,504 and 70,814 is: 99,291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,504 : 70,814 = 70,814 : x
  2. Step 2: Convert to fraction form
    50,504/70,814 = 70,814/x
  3. Step 3: Cross multiply
    50,504x = 70,814 × 70,814
  4. Step 4: Simplify right side
    50,504x = 5,014,622,596
  5. Step 5: Solve for x
    x = 5,014,622,596/50,504
  6. Step 6: Final answer
    x = 99,291.59

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.