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Finding the Third Proportional to 120,641.63 and 177,450.75

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Solution

The third proportional to 120,641.63 and 177,450.75 is: 261,010.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,641.63 : 177,450.75 = 177,450.75 : x
  2. Step 2: Convert to fraction form
    120,641.63/177,450.75 = 177,450.75/x
  3. Step 3: Cross multiply
    120,641.63x = 177,450.75 × 177,450.75
  4. Step 4: Simplify right side
    120,641.63x = 31,488,768,675.56
  5. Step 5: Solve for x
    x = 31,488,768,675.56/120,641.63
  6. Step 6: Final answer
    x = 261,010.81

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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.