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Finding the Third Proportional to 106,585 and 227,941

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Solution

The third proportional to 106,585 and 227,941 is: 487,471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,585 : 227,941 = 227,941 : x
  2. Step 2: Convert to fraction form
    106,585/227,941 = 227,941/x
  3. Step 3: Cross multiply
    106,585x = 227,941 × 227,941
  4. Step 4: Simplify right side
    106,585x = 51,957,099,481
  5. Step 5: Solve for x
    x = 51,957,099,481/106,585
  6. Step 6: Final answer
    x = 487,471.03

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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.