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Finding the Third Proportional to 72,006 and 107,259

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Solution

The third proportional to 72,006 and 107,259 is: 159,771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,006 : 107,259 = 107,259 : x
  2. Step 2: Convert to fraction form
    72,006/107,259 = 107,259/x
  3. Step 3: Cross multiply
    72,006x = 107,259 × 107,259
  4. Step 4: Simplify right side
    72,006x = 11,504,493,081
  5. Step 5: Solve for x
    x = 11,504,493,081/72,006
  6. Step 6: Final answer
    x = 159,771.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.