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Finding the Third Proportional to 107,538 and 161,694

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Solution

The third proportional to 107,538 and 161,694 is: 243,122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,538 : 161,694 = 161,694 : x
  2. Step 2: Convert to fraction form
    107,538/161,694 = 161,694/x
  3. Step 3: Cross multiply
    107,538x = 161,694 × 161,694
  4. Step 4: Simplify right side
    107,538x = 26,144,949,636
  5. Step 5: Solve for x
    x = 26,144,949,636/107,538
  6. Step 6: Final answer
    x = 243,122.89

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