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Finding the Third Proportional to 124,027 and 196,647

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Solution

The third proportional to 124,027 and 196,647 is: 311,787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,027 : 196,647 = 196,647 : x
  2. Step 2: Convert to fraction form
    124,027/196,647 = 196,647/x
  3. Step 3: Cross multiply
    124,027x = 196,647 × 196,647
  4. Step 4: Simplify right side
    124,027x = 38,670,042,609
  5. Step 5: Solve for x
    x = 38,670,042,609/124,027
  6. Step 6: Final answer
    x = 311,787.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.