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Finding the Third Proportional to 76,968 and 159,984

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Solution

The third proportional to 76,968 and 159,984 is: 332,539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,968 : 159,984 = 159,984 : x
  2. Step 2: Convert to fraction form
    76,968/159,984 = 159,984/x
  3. Step 3: Cross multiply
    76,968x = 159,984 × 159,984
  4. Step 4: Simplify right side
    76,968x = 25,594,880,256
  5. Step 5: Solve for x
    x = 25,594,880,256/76,968
  6. Step 6: Final answer
    x = 332,539.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.