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Finding the Third Proportional to 51,401 and 74,914

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Solution

The third proportional to 51,401 and 74,914 is: 109,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,401 : 74,914 = 74,914 : x
  2. Step 2: Convert to fraction form
    51,401/74,914 = 74,914/x
  3. Step 3: Cross multiply
    51,401x = 74,914 × 74,914
  4. Step 4: Simplify right side
    51,401x = 5,612,107,396
  5. Step 5: Solve for x
    x = 5,612,107,396/51,401
  6. Step 6: Final answer
    x = 109,182.84

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.