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Finding the Third Proportional to 85,594 and 168,879

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Solution

The third proportional to 85,594 and 168,879 is: 333,202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,594 : 168,879 = 168,879 : x
  2. Step 2: Convert to fraction form
    85,594/168,879 = 168,879/x
  3. Step 3: Cross multiply
    85,594x = 168,879 × 168,879
  4. Step 4: Simplify right side
    85,594x = 28,520,116,641
  5. Step 5: Solve for x
    x = 28,520,116,641/85,594
  6. Step 6: Final answer
    x = 333,202.29

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.