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Finding the Third Proportional to 34,122 and 73,833.25

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Solution

The third proportional to 34,122 and 73,833.25 is: 159,760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,122 : 73,833.25 = 73,833.25 : x
  2. Step 2: Convert to fraction form
    34,122/73,833.25 = 73,833.25/x
  3. Step 3: Cross multiply
    34,122x = 73,833.25 × 73,833.25
  4. Step 4: Simplify right side
    34,122x = 5,451,348,805.56
  5. Step 5: Solve for x
    x = 5,451,348,805.56/34,122
  6. Step 6: Final answer
    x = 159,760.53

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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.