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Finding the Third Proportional to 83,497 and 171,083

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Solution

The third proportional to 83,497 and 171,083 is: 350,544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,497 : 171,083 = 171,083 : x
  2. Step 2: Convert to fraction form
    83,497/171,083 = 171,083/x
  3. Step 3: Cross multiply
    83,497x = 171,083 × 171,083
  4. Step 4: Simplify right side
    83,497x = 29,269,392,889
  5. Step 5: Solve for x
    x = 29,269,392,889/83,497
  6. Step 6: Final answer
    x = 350,544.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.