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Finding the Third Proportional to 105,124 and 225,800

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Solution

The third proportional to 105,124 and 225,800 is: 485,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,124 : 225,800 = 225,800 : x
  2. Step 2: Convert to fraction form
    105,124/225,800 = 225,800/x
  3. Step 3: Cross multiply
    105,124x = 225,800 × 225,800
  4. Step 4: Simplify right side
    105,124x = 50,985,640,000
  5. Step 5: Solve for x
    x = 50,985,640,000/105,124
  6. Step 6: Final answer
    x = 485,004.76

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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.