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Finding the Third Proportional to 54,544 and 80,022

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Solution

The third proportional to 54,544 and 80,022 is: 117,401.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,544 : 80,022 = 80,022 : x
  2. Step 2: Convert to fraction form
    54,544/80,022 = 80,022/x
  3. Step 3: Cross multiply
    54,544x = 80,022 × 80,022
  4. Step 4: Simplify right side
    54,544x = 6,403,520,484
  5. Step 5: Solve for x
    x = 6,403,520,484/54,544
  6. Step 6: Final answer
    x = 117,401.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.