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Finding the Third Proportional to 43,738 and 93,694

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Solution

The third proportional to 43,738 and 93,694 is: 200,707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,738 : 93,694 = 93,694 : x
  2. Step 2: Convert to fraction form
    43,738/93,694 = 93,694/x
  3. Step 3: Cross multiply
    43,738x = 93,694 × 93,694
  4. Step 4: Simplify right side
    43,738x = 8,778,565,636
  5. Step 5: Solve for x
    x = 8,778,565,636/43,738
  6. Step 6: Final answer
    x = 200,707.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.