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Finding the Third Proportional to 81,122 and 175,940

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Solution

The third proportional to 81,122 and 175,940 is: 381,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,122 : 175,940 = 175,940 : x
  2. Step 2: Convert to fraction form
    81,122/175,940 = 175,940/x
  3. Step 3: Cross multiply
    81,122x = 175,940 × 175,940
  4. Step 4: Simplify right side
    81,122x = 30,954,883,600
  5. Step 5: Solve for x
    x = 30,954,883,600/81,122
  6. Step 6: Final answer
    x = 381,584.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.