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Finding the Third Proportional to 51,170 and 77,994

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Solution

The third proportional to 51,170 and 77,994 is: 118,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,170 : 77,994 = 77,994 : x
  2. Step 2: Convert to fraction form
    51,170/77,994 = 77,994/x
  3. Step 3: Cross multiply
    51,170x = 77,994 × 77,994
  4. Step 4: Simplify right side
    51,170x = 6,083,064,036
  5. Step 5: Solve for x
    x = 6,083,064,036/51,170
  6. Step 6: Final answer
    x = 118,879.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.