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Finding the Third Proportional to 85,205 and 179,223

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Solution

The third proportional to 85,205 and 179,223 is: 376,983.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,205 : 179,223 = 179,223 : x
  2. Step 2: Convert to fraction form
    85,205/179,223 = 179,223/x
  3. Step 3: Cross multiply
    85,205x = 179,223 × 179,223
  4. Step 4: Simplify right side
    85,205x = 32,120,883,729
  5. Step 5: Solve for x
    x = 32,120,883,729/85,205
  6. Step 6: Final answer
    x = 376,983.55

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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.