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Finding the Third Proportional to 98,067 and 146,968

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Solution

The third proportional to 98,067 and 146,968 is: 220,253.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,067 : 146,968 = 146,968 : x
  2. Step 2: Convert to fraction form
    98,067/146,968 = 146,968/x
  3. Step 3: Cross multiply
    98,067x = 146,968 × 146,968
  4. Step 4: Simplify right side
    98,067x = 21,599,593,024
  5. Step 5: Solve for x
    x = 21,599,593,024/98,067
  6. Step 6: Final answer
    x = 220,253.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.