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Finding the Third Proportional to 69,804 and 145,500

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Solution

The third proportional to 69,804 and 145,500 is: 303,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,804 : 145,500 = 145,500 : x
  2. Step 2: Convert to fraction form
    69,804/145,500 = 145,500/x
  3. Step 3: Cross multiply
    69,804x = 145,500 × 145,500
  4. Step 4: Simplify right side
    69,804x = 21,170,250,000
  5. Step 5: Solve for x
    x = 21,170,250,000/69,804
  6. Step 6: Final answer
    x = 303,281.33

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.