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Finding the Third Proportional to 54,873 and 74,529

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Solution

The third proportional to 54,873 and 74,529 is: 101,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,873 : 74,529 = 74,529 : x
  2. Step 2: Convert to fraction form
    54,873/74,529 = 74,529/x
  3. Step 3: Cross multiply
    54,873x = 74,529 × 74,529
  4. Step 4: Simplify right side
    54,873x = 5,554,571,841
  5. Step 5: Solve for x
    x = 5,554,571,841/54,873
  6. Step 6: Final answer
    x = 101,225.96

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