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Finding the Third Proportional to 48,069 and 71,704.50

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Solution

The third proportional to 48,069 and 71,704.50 is: 106,961.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,069 : 71,704.50 = 71,704.50 : x
  2. Step 2: Convert to fraction form
    48,069/71,704.50 = 71,704.50/x
  3. Step 3: Cross multiply
    48,069x = 71,704.50 × 71,704.50
  4. Step 4: Simplify right side
    48,069x = 5,141,535,320.25
  5. Step 5: Solve for x
    x = 5,141,535,320.25/48,069
  6. Step 6: Final answer
    x = 106,961.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.