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Finding the Third Proportional to 69,973 and 150,997

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Solution

The third proportional to 69,973 and 150,997 is: 325,841.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,973 : 150,997 = 150,997 : x
  2. Step 2: Convert to fraction form
    69,973/150,997 = 150,997/x
  3. Step 3: Cross multiply
    69,973x = 150,997 × 150,997
  4. Step 4: Simplify right side
    69,973x = 22,800,094,009
  5. Step 5: Solve for x
    x = 22,800,094,009/69,973
  6. Step 6: Final answer
    x = 325,841.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.