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Finding the Third Proportional to 120,004.03 and 179,664.33

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Solution

The third proportional to 120,004.03 and 179,664.33 is: 268,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,004.03 : 179,664.33 = 179,664.33 : x
  2. Step 2: Convert to fraction form
    120,004.03/179,664.33 = 179,664.33/x
  3. Step 3: Cross multiply
    120,004.03x = 179,664.33 × 179,664.33
  4. Step 4: Simplify right side
    120,004.03x = 32,279,270,800.61
  5. Step 5: Solve for x
    x = 32,279,270,800.61/120,004.03
  6. Step 6: Final answer
    x = 268,984.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.