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Finding the Third Proportional to 54,918 and 74,589

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Solution

The third proportional to 54,918 and 74,589 is: 101,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,918 : 74,589 = 74,589 : x
  2. Step 2: Convert to fraction form
    54,918/74,589 = 74,589/x
  3. Step 3: Cross multiply
    54,918x = 74,589 × 74,589
  4. Step 4: Simplify right side
    54,918x = 5,563,518,921
  5. Step 5: Solve for x
    x = 5,563,518,921/54,918
  6. Step 6: Final answer
    x = 101,305.93

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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.