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Finding the Third Proportional to 73,004 and 80,684

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Solution

The third proportional to 73,004 and 80,684 is: 89,171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,004 : 80,684 = 80,684 : x
  2. Step 2: Convert to fraction form
    73,004/80,684 = 80,684/x
  3. Step 3: Cross multiply
    73,004x = 80,684 × 80,684
  4. Step 4: Simplify right side
    73,004x = 6,509,907,856
  5. Step 5: Solve for x
    x = 6,509,907,856/73,004
  6. Step 6: Final answer
    x = 89,171.93

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.