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Finding the Third Proportional to 102,802 and 150,299

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Solution

The third proportional to 102,802 and 150,299 is: 219,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,802 : 150,299 = 150,299 : x
  2. Step 2: Convert to fraction form
    102,802/150,299 = 150,299/x
  3. Step 3: Cross multiply
    102,802x = 150,299 × 150,299
  4. Step 4: Simplify right side
    102,802x = 22,589,789,401
  5. Step 5: Solve for x
    x = 22,589,789,401/102,802
  6. Step 6: Final answer
    x = 219,740.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.