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Finding the Third Proportional to 105,878 and 227,104

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Solution

The third proportional to 105,878 and 227,104 is: 487,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,878 : 227,104 = 227,104 : x
  2. Step 2: Convert to fraction form
    105,878/227,104 = 227,104/x
  3. Step 3: Cross multiply
    105,878x = 227,104 × 227,104
  4. Step 4: Simplify right side
    105,878x = 51,576,226,816
  5. Step 5: Solve for x
    x = 51,576,226,816/105,878
  6. Step 6: Final answer
    x = 487,128.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.