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Finding the Third Proportional to 109,062 and 159,997

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Solution

The third proportional to 109,062 and 159,997 is: 234,720.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,062 : 159,997 = 159,997 : x
  2. Step 2: Convert to fraction form
    109,062/159,997 = 159,997/x
  3. Step 3: Cross multiply
    109,062x = 159,997 × 159,997
  4. Step 4: Simplify right side
    109,062x = 25,599,040,009
  5. Step 5: Solve for x
    x = 25,599,040,009/109,062
  6. Step 6: Final answer
    x = 234,720.07

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.