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Finding the Third Proportional to 50,995 and 78,769.50

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Solution

The third proportional to 50,995 and 78,769.50 is: 121,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,995 : 78,769.50 = 78,769.50 : x
  2. Step 2: Convert to fraction form
    50,995/78,769.50 = 78,769.50/x
  3. Step 3: Cross multiply
    50,995x = 78,769.50 × 78,769.50
  4. Step 4: Simplify right side
    50,995x = 6,204,634,130.25
  5. Step 5: Solve for x
    x = 6,204,634,130.25/50,995
  6. Step 6: Final answer
    x = 121,671.42

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.