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Finding the Third Proportional to 72,069 and 154,797.75

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Solution

The third proportional to 72,069 and 154,797.75 is: 332,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,069 : 154,797.75 = 154,797.75 : x
  2. Step 2: Convert to fraction form
    72,069/154,797.75 = 154,797.75/x
  3. Step 3: Cross multiply
    72,069x = 154,797.75 × 154,797.75
  4. Step 4: Simplify right side
    72,069x = 23,962,343,405.06
  5. Step 5: Solve for x
    x = 23,962,343,405.06/72,069
  6. Step 6: Final answer
    x = 332,491.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.