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Finding the Third Proportional to 73,969 and 120,173

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Solution

The third proportional to 73,969 and 120,173 is: 195,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,969 : 120,173 = 120,173 : x
  2. Step 2: Convert to fraction form
    73,969/120,173 = 120,173/x
  3. Step 3: Cross multiply
    73,969x = 120,173 × 120,173
  4. Step 4: Simplify right side
    73,969x = 14,441,549,929
  5. Step 5: Solve for x
    x = 14,441,549,929/73,969
  6. Step 6: Final answer
    x = 195,237.87

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.