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Finding the Third Proportional to 69,873 and 150,814.50

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Solution

The third proportional to 69,873 and 150,814.50 is: 325,519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,873 : 150,814.50 = 150,814.50 : x
  2. Step 2: Convert to fraction form
    69,873/150,814.50 = 150,814.50/x
  3. Step 3: Cross multiply
    69,873x = 150,814.50 × 150,814.50
  4. Step 4: Simplify right side
    69,873x = 22,745,013,410.25
  5. Step 5: Solve for x
    x = 22,745,013,410.25/69,873
  6. Step 6: Final answer
    x = 325,519.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.