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Finding the Third Proportional to 84,884 and 179,058

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Solution

The third proportional to 84,884 and 179,058 is: 377,712.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,884 : 179,058 = 179,058 : x
  2. Step 2: Convert to fraction form
    84,884/179,058 = 179,058/x
  3. Step 3: Cross multiply
    84,884x = 179,058 × 179,058
  4. Step 4: Simplify right side
    84,884x = 32,061,767,364
  5. Step 5: Solve for x
    x = 32,061,767,364/84,884
  6. Step 6: Final answer
    x = 377,712.73

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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.