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Finding the Third Proportional to 80,036 and 119,604

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Solution

The third proportional to 80,036 and 119,604 is: 178,733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,036 : 119,604 = 119,604 : x
  2. Step 2: Convert to fraction form
    80,036/119,604 = 119,604/x
  3. Step 3: Cross multiply
    80,036x = 119,604 × 119,604
  4. Step 4: Simplify right side
    80,036x = 14,305,116,816
  5. Step 5: Solve for x
    x = 14,305,116,816/80,036
  6. Step 6: Final answer
    x = 178,733.53

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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.