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Finding the Third Proportional to 106,027 and 227,410

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Solution

The third proportional to 106,027 and 227,410 is: 487,756.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,027 : 227,410 = 227,410 : x
  2. Step 2: Convert to fraction form
    106,027/227,410 = 227,410/x
  3. Step 3: Cross multiply
    106,027x = 227,410 × 227,410
  4. Step 4: Simplify right side
    106,027x = 51,715,308,100
  5. Step 5: Solve for x
    x = 51,715,308,100/106,027
  6. Step 6: Final answer
    x = 487,756.03

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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.