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Finding the Third Proportional to 104,729 and 226,063

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Solution

The third proportional to 104,729 and 226,063 is: 487,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,729 : 226,063 = 226,063 : x
  2. Step 2: Convert to fraction form
    104,729/226,063 = 226,063/x
  3. Step 3: Cross multiply
    104,729x = 226,063 × 226,063
  4. Step 4: Simplify right side
    104,729x = 51,104,479,969
  5. Step 5: Solve for x
    x = 51,104,479,969/104,729
  6. Step 6: Final answer
    x = 487,968.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.