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Finding the Third Proportional to 54,274 and 84,030

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Solution

The third proportional to 54,274 and 84,030 is: 130,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,274 : 84,030 = 84,030 : x
  2. Step 2: Convert to fraction form
    54,274/84,030 = 84,030/x
  3. Step 3: Cross multiply
    54,274x = 84,030 × 84,030
  4. Step 4: Simplify right side
    54,274x = 7,061,040,900
  5. Step 5: Solve for x
    x = 7,061,040,900/54,274
  6. Step 6: Final answer
    x = 130,099.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.