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Finding the Third Proportional to 54,412 and 83,182

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Solution

The third proportional to 54,412 and 83,182 is: 127,163.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,412 : 83,182 = 83,182 : x
  2. Step 2: Convert to fraction form
    54,412/83,182 = 83,182/x
  3. Step 3: Cross multiply
    54,412x = 83,182 × 83,182
  4. Step 4: Simplify right side
    54,412x = 6,919,245,124
  5. Step 5: Solve for x
    x = 6,919,245,124/54,412
  6. Step 6: Final answer
    x = 127,163.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.