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Finding the Third Proportional to 44,544 and 68,454

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Solution

The third proportional to 44,544 and 68,454 is: 105,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,544 : 68,454 = 68,454 : x
  2. Step 2: Convert to fraction form
    44,544/68,454 = 68,454/x
  3. Step 3: Cross multiply
    44,544x = 68,454 × 68,454
  4. Step 4: Simplify right side
    44,544x = 4,685,950,116
  5. Step 5: Solve for x
    x = 4,685,950,116/44,544
  6. Step 6: Final answer
    x = 105,198.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.