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Finding the Third Proportional to 80,124 and 119,628

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Solution

The third proportional to 80,124 and 119,628 is: 178,608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,124 : 119,628 = 119,628 : x
  2. Step 2: Convert to fraction form
    80,124/119,628 = 119,628/x
  3. Step 3: Cross multiply
    80,124x = 119,628 × 119,628
  4. Step 4: Simplify right side
    80,124x = 14,310,858,384
  5. Step 5: Solve for x
    x = 14,310,858,384/80,124
  6. Step 6: Final answer
    x = 178,608.89

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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.