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Finding the Third Proportional to 48,906 and 73,885

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Solution

The third proportional to 48,906 and 73,885 is: 111,622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,906 : 73,885 = 73,885 : x
  2. Step 2: Convert to fraction form
    48,906/73,885 = 73,885/x
  3. Step 3: Cross multiply
    48,906x = 73,885 × 73,885
  4. Step 4: Simplify right side
    48,906x = 5,458,993,225
  5. Step 5: Solve for x
    x = 5,458,993,225/48,906
  6. Step 6: Final answer
    x = 111,622.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.