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Finding the Third Proportional to 73,888 and 111,608

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Solution

The third proportional to 73,888 and 111,608 is: 168,584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,888 : 111,608 = 111,608 : x
  2. Step 2: Convert to fraction form
    73,888/111,608 = 111,608/x
  3. Step 3: Cross multiply
    73,888x = 111,608 × 111,608
  4. Step 4: Simplify right side
    73,888x = 12,456,345,664
  5. Step 5: Solve for x
    x = 12,456,345,664/73,888
  6. Step 6: Final answer
    x = 168,584.15

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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.