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Finding the Third Proportional to 55,034 and 82,675

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Solution

The third proportional to 55,034 and 82,675 is: 124,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,034 : 82,675 = 82,675 : x
  2. Step 2: Convert to fraction form
    55,034/82,675 = 82,675/x
  3. Step 3: Cross multiply
    55,034x = 82,675 × 82,675
  4. Step 4: Simplify right side
    55,034x = 6,835,155,625
  5. Step 5: Solve for x
    x = 6,835,155,625/55,034
  6. Step 6: Final answer
    x = 124,198.78

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Why These Related Problems?

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