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Finding the Third Proportional to 120,781 and 177,619.50

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Solution

The third proportional to 120,781 and 177,619.50 is: 261,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,781 : 177,619.50 = 177,619.50 : x
  2. Step 2: Convert to fraction form
    120,781/177,619.50 = 177,619.50/x
  3. Step 3: Cross multiply
    120,781x = 177,619.50 × 177,619.50
  4. Step 4: Simplify right side
    120,781x = 31,548,686,780.25
  5. Step 5: Solve for x
    x = 31,548,686,780.25/120,781
  6. Step 6: Final answer
    x = 261,205.71

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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.