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Finding the Third Proportional to 44,078 and 93,924

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Solution

The third proportional to 44,078 and 93,924 is: 200,138.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,078 : 93,924 = 93,924 : x
  2. Step 2: Convert to fraction form
    44,078/93,924 = 93,924/x
  3. Step 3: Cross multiply
    44,078x = 93,924 × 93,924
  4. Step 4: Simplify right side
    44,078x = 8,821,717,776
  5. Step 5: Solve for x
    x = 8,821,717,776/44,078
  6. Step 6: Final answer
    x = 200,138.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.