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Finding the Third Proportional to 84,906 and 179,104

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Solution

The third proportional to 84,906 and 179,104 is: 377,808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,906 : 179,104 = 179,104 : x
  2. Step 2: Convert to fraction form
    84,906/179,104 = 179,104/x
  3. Step 3: Cross multiply
    84,906x = 179,104 × 179,104
  4. Step 4: Simplify right side
    84,906x = 32,078,242,816
  5. Step 5: Solve for x
    x = 32,078,242,816/84,906
  6. Step 6: Final answer
    x = 377,808.90

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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.