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Finding the Third Proportional to 84,346 and 171,116

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Solution

The third proportional to 84,346 and 171,116 is: 347,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,346 : 171,116 = 171,116 : x
  2. Step 2: Convert to fraction form
    84,346/171,116 = 171,116/x
  3. Step 3: Cross multiply
    84,346x = 171,116 × 171,116
  4. Step 4: Simplify right side
    84,346x = 29,280,685,456
  5. Step 5: Solve for x
    x = 29,280,685,456/84,346
  6. Step 6: Final answer
    x = 347,149.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.