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Finding the Third Proportional to 84,904 and 179,100

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Solution

The third proportional to 84,904 and 179,100 is: 377,800.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,904 : 179,100 = 179,100 : x
  2. Step 2: Convert to fraction form
    84,904/179,100 = 179,100/x
  3. Step 3: Cross multiply
    84,904x = 179,100 × 179,100
  4. Step 4: Simplify right side
    84,904x = 32,076,810,000
  5. Step 5: Solve for x
    x = 32,076,810,000/84,904
  6. Step 6: Final answer
    x = 377,800.93

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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.