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Finding the Third Proportional to 73,080 and 95,994

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Solution

The third proportional to 73,080 and 95,994 is: 126,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,080 : 95,994 = 95,994 : x
  2. Step 2: Convert to fraction form
    73,080/95,994 = 95,994/x
  3. Step 3: Cross multiply
    73,080x = 95,994 × 95,994
  4. Step 4: Simplify right side
    73,080x = 9,214,848,036
  5. Step 5: Solve for x
    x = 9,214,848,036/73,080
  6. Step 6: Final answer
    x = 126,092.61

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.