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Finding the Third Proportional to 84,878 and 179,050

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Solution

The third proportional to 84,878 and 179,050 is: 377,705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,878 : 179,050 = 179,050 : x
  2. Step 2: Convert to fraction form
    84,878/179,050 = 179,050/x
  3. Step 3: Cross multiply
    84,878x = 179,050 × 179,050
  4. Step 4: Simplify right side
    84,878x = 32,058,902,500
  5. Step 5: Solve for x
    x = 32,058,902,500/84,878
  6. Step 6: Final answer
    x = 377,705.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.