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Finding the Third Proportional to 54,484 and 82,052

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Solution

The third proportional to 54,484 and 82,052 is: 123,568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,484 : 82,052 = 82,052 : x
  2. Step 2: Convert to fraction form
    54,484/82,052 = 82,052/x
  3. Step 3: Cross multiply
    54,484x = 82,052 × 82,052
  4. Step 4: Simplify right side
    54,484x = 6,732,530,704
  5. Step 5: Solve for x
    x = 6,732,530,704/54,484
  6. Step 6: Final answer
    x = 123,568.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.