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Finding the Third Proportional to 54,554 and 80,103

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Solution

The third proportional to 54,554 and 80,103 is: 117,617.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,554 : 80,103 = 80,103 : x
  2. Step 2: Convert to fraction form
    54,554/80,103 = 80,103/x
  3. Step 3: Cross multiply
    54,554x = 80,103 × 80,103
  4. Step 4: Simplify right side
    54,554x = 6,416,490,609
  5. Step 5: Solve for x
    x = 6,416,490,609/54,554
  6. Step 6: Final answer
    x = 117,617.23

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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.