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Finding the Third Proportional to 54,803 and 74,266

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Solution

The third proportional to 54,803 and 74,266 is: 100,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,803 : 74,266 = 74,266 : x
  2. Step 2: Convert to fraction form
    54,803/74,266 = 74,266/x
  3. Step 3: Cross multiply
    54,803x = 74,266 × 74,266
  4. Step 4: Simplify right side
    54,803x = 5,515,438,756
  5. Step 5: Solve for x
    x = 5,515,438,756/54,803
  6. Step 6: Final answer
    x = 100,641.18

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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.