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Finding the Third Proportional to 50,904 and 108,036

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Solution

The third proportional to 50,904 and 108,036 is: 229,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,904 : 108,036 = 108,036 : x
  2. Step 2: Convert to fraction form
    50,904/108,036 = 108,036/x
  3. Step 3: Cross multiply
    50,904x = 108,036 × 108,036
  4. Step 4: Simplify right side
    50,904x = 11,671,777,296
  5. Step 5: Solve for x
    x = 11,671,777,296/50,904
  6. Step 6: Final answer
    x = 229,289.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.