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Finding the Third Proportional to 105,104 and 225,760

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Solution

The third proportional to 105,104 and 225,760 is: 484,925.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,104 : 225,760 = 225,760 : x
  2. Step 2: Convert to fraction form
    105,104/225,760 = 225,760/x
  3. Step 3: Cross multiply
    105,104x = 225,760 × 225,760
  4. Step 4: Simplify right side
    105,104x = 50,967,577,600
  5. Step 5: Solve for x
    x = 50,967,577,600/105,104
  6. Step 6: Final answer
    x = 484,925.19

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Why These Related Problems?

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