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Finding the Third Proportional to 37,758 and 88,183

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Solution

The third proportional to 37,758 and 88,183 is: 205,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,758 : 88,183 = 88,183 : x
  2. Step 2: Convert to fraction form
    37,758/88,183 = 88,183/x
  3. Step 3: Cross multiply
    37,758x = 88,183 × 88,183
  4. Step 4: Simplify right side
    37,758x = 7,776,241,489
  5. Step 5: Solve for x
    x = 7,776,241,489/37,758
  6. Step 6: Final answer
    x = 205,949.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.