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Finding the Third Proportional to 84,920 and 185,176

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Solution

The third proportional to 84,920 and 185,176 is: 403,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,920 : 185,176 = 185,176 : x
  2. Step 2: Convert to fraction form
    84,920/185,176 = 185,176/x
  3. Step 3: Cross multiply
    84,920x = 185,176 × 185,176
  4. Step 4: Simplify right side
    84,920x = 34,290,150,976
  5. Step 5: Solve for x
    x = 34,290,150,976/84,920
  6. Step 6: Final answer
    x = 403,793.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.