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Finding the Third Proportional to 72,191 and 111,104

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Solution

The third proportional to 72,191 and 111,104 is: 170,992.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,191 : 111,104 = 111,104 : x
  2. Step 2: Convert to fraction form
    72,191/111,104 = 111,104/x
  3. Step 3: Cross multiply
    72,191x = 111,104 × 111,104
  4. Step 4: Simplify right side
    72,191x = 12,344,098,816
  5. Step 5: Solve for x
    x = 12,344,098,816/72,191
  6. Step 6: Final answer
    x = 170,992.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.