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Finding the Third Proportional to 76,973 and 167,878

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Solution

The third proportional to 76,973 and 167,878 is: 366,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,973 : 167,878 = 167,878 : x
  2. Step 2: Convert to fraction form
    76,973/167,878 = 167,878/x
  3. Step 3: Cross multiply
    76,973x = 167,878 × 167,878
  4. Step 4: Simplify right side
    76,973x = 28,183,022,884
  5. Step 5: Solve for x
    x = 28,183,022,884/76,973
  6. Step 6: Final answer
    x = 366,141.67

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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.