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Finding the Third Proportional to 104,134.50 and 227,529

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Solution

The third proportional to 104,134.50 and 227,529 is: 497,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,134.50 : 227,529 = 227,529 : x
  2. Step 2: Convert to fraction form
    104,134.50/227,529 = 227,529/x
  3. Step 3: Cross multiply
    104,134.50x = 227,529 × 227,529
  4. Step 4: Simplify right side
    104,134.50x = 51,769,445,841
  5. Step 5: Solve for x
    x = 51,769,445,841/104,134.50
  6. Step 6: Final answer
    x = 497,140.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.