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Finding the Third Proportional to 109,122 and 234,930

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Solution

The third proportional to 109,122 and 234,930 is: 505,783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,122 : 234,930 = 234,930 : x
  2. Step 2: Convert to fraction form
    109,122/234,930 = 234,930/x
  3. Step 3: Cross multiply
    109,122x = 234,930 × 234,930
  4. Step 4: Simplify right side
    109,122x = 55,192,104,900
  5. Step 5: Solve for x
    x = 55,192,104,900/109,122
  6. Step 6: Final answer
    x = 505,783.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.