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Finding the Third Proportional to 137,322 and 195,997

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Solution

The third proportional to 137,322 and 195,997 is: 279,742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,322 : 195,997 = 195,997 : x
  2. Step 2: Convert to fraction form
    137,322/195,997 = 195,997/x
  3. Step 3: Cross multiply
    137,322x = 195,997 × 195,997
  4. Step 4: Simplify right side
    137,322x = 38,414,824,009
  5. Step 5: Solve for x
    x = 38,414,824,009/137,322
  6. Step 6: Final answer
    x = 279,742.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.