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Finding the Third Proportional to 73,556 and 111,144

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Solution

The third proportional to 73,556 and 111,144 is: 167,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,556 : 111,144 = 111,144 : x
  2. Step 2: Convert to fraction form
    73,556/111,144 = 111,144/x
  3. Step 3: Cross multiply
    73,556x = 111,144 × 111,144
  4. Step 4: Simplify right side
    73,556x = 12,352,988,736
  5. Step 5: Solve for x
    x = 12,352,988,736/73,556
  6. Step 6: Final answer
    x = 167,939.92

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