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Finding the Third Proportional to 50,814 and 73,075.50

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Solution

The third proportional to 50,814 and 73,075.50 is: 105,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,814 : 73,075.50 = 73,075.50 : x
  2. Step 2: Convert to fraction form
    50,814/73,075.50 = 73,075.50/x
  3. Step 3: Cross multiply
    50,814x = 73,075.50 × 73,075.50
  4. Step 4: Simplify right side
    50,814x = 5,340,028,700.25
  5. Step 5: Solve for x
    x = 5,340,028,700.25/50,814
  6. Step 6: Final answer
    x = 105,089.71

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.