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Finding the Third Proportional to 107,613 and 227,529

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Solution

The third proportional to 107,613 and 227,529 is: 481,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,613 : 227,529 = 227,529 : x
  2. Step 2: Convert to fraction form
    107,613/227,529 = 227,529/x
  3. Step 3: Cross multiply
    107,613x = 227,529 × 227,529
  4. Step 4: Simplify right side
    107,613x = 51,769,445,841
  5. Step 5: Solve for x
    x = 51,769,445,841/107,613
  6. Step 6: Final answer
    x = 481,070.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.