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Finding the Third Proportional to 54,018 and 71,679

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Solution

The third proportional to 54,018 and 71,679 is: 95,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,018 : 71,679 = 71,679 : x
  2. Step 2: Convert to fraction form
    54,018/71,679 = 71,679/x
  3. Step 3: Cross multiply
    54,018x = 71,679 × 71,679
  4. Step 4: Simplify right side
    54,018x = 5,137,879,041
  5. Step 5: Solve for x
    x = 5,137,879,041/54,018
  6. Step 6: Final answer
    x = 95,114.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.