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Finding the Third Proportional to 54,486 and 73,953

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Solution

The third proportional to 54,486 and 73,953 is: 100,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,486 : 73,953 = 73,953 : x
  2. Step 2: Convert to fraction form
    54,486/73,953 = 73,953/x
  3. Step 3: Cross multiply
    54,486x = 73,953 × 73,953
  4. Step 4: Simplify right side
    54,486x = 5,469,046,209
  5. Step 5: Solve for x
    x = 5,469,046,209/54,486
  6. Step 6: Final answer
    x = 100,375.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.