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Finding the Third Proportional to 44,848 and 95,162

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Solution

The third proportional to 44,848 and 95,162 is: 201,922.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,848 : 95,162 = 95,162 : x
  2. Step 2: Convert to fraction form
    44,848/95,162 = 95,162/x
  3. Step 3: Cross multiply
    44,848x = 95,162 × 95,162
  4. Step 4: Simplify right side
    44,848x = 9,055,806,244
  5. Step 5: Solve for x
    x = 9,055,806,244/44,848
  6. Step 6: Final answer
    x = 201,922.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.