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Finding the Third Proportional to 104,054 and 227,932

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Solution

The third proportional to 104,054 and 227,932 is: 499,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,054 : 227,932 = 227,932 : x
  2. Step 2: Convert to fraction form
    104,054/227,932 = 227,932/x
  3. Step 3: Cross multiply
    104,054x = 227,932 × 227,932
  4. Step 4: Simplify right side
    104,054x = 51,952,996,624
  5. Step 5: Solve for x
    x = 51,952,996,624/104,054
  6. Step 6: Final answer
    x = 499,288.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.