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Finding the Third Proportional to 85,173 and 179,173

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Solution

The third proportional to 85,173 and 179,173 is: 376,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,173 : 179,173 = 179,173 : x
  2. Step 2: Convert to fraction form
    85,173/179,173 = 179,173/x
  3. Step 3: Cross multiply
    85,173x = 179,173 × 179,173
  4. Step 4: Simplify right side
    85,173x = 32,102,963,929
  5. Step 5: Solve for x
    x = 32,102,963,929/85,173
  6. Step 6: Final answer
    x = 376,914.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.