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Finding the Third Proportional to 50,526 and 73,571

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Solution

The third proportional to 50,526 and 73,571 is: 107,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,526 : 73,571 = 73,571 : x
  2. Step 2: Convert to fraction form
    50,526/73,571 = 73,571/x
  3. Step 3: Cross multiply
    50,526x = 73,571 × 73,571
  4. Step 4: Simplify right side
    50,526x = 5,412,692,041
  5. Step 5: Solve for x
    x = 5,412,692,041/50,526
  6. Step 6: Final answer
    x = 107,126.87

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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.