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Finding the Third Proportional to 76,870 and 168,874

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Solution

The third proportional to 76,870 and 168,874 is: 370,995.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,870 : 168,874 = 168,874 : x
  2. Step 2: Convert to fraction form
    76,870/168,874 = 168,874/x
  3. Step 3: Cross multiply
    76,870x = 168,874 × 168,874
  4. Step 4: Simplify right side
    76,870x = 28,518,427,876
  5. Step 5: Solve for x
    x = 28,518,427,876/76,870
  6. Step 6: Final answer
    x = 370,995.55

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.