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Finding the Third Proportional to 77,512.50 and 113,994

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Solution

The third proportional to 77,512.50 and 113,994 is: 167,645.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,512.50 : 113,994 = 113,994 : x
  2. Step 2: Convert to fraction form
    77,512.50/113,994 = 113,994/x
  3. Step 3: Cross multiply
    77,512.50x = 113,994 × 113,994
  4. Step 4: Simplify right side
    77,512.50x = 12,994,632,036
  5. Step 5: Solve for x
    x = 12,994,632,036/77,512.50
  6. Step 6: Final answer
    x = 167,645.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.