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Finding the Third Proportional to 78,351.75 and 119,364.75

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Solution

The third proportional to 78,351.75 and 119,364.75 is: 181,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,351.75 : 119,364.75 = 119,364.75 : x
  2. Step 2: Convert to fraction form
    78,351.75/119,364.75 = 119,364.75/x
  3. Step 3: Cross multiply
    78,351.75x = 119,364.75 × 119,364.75
  4. Step 4: Simplify right side
    78,351.75x = 14,247,943,542.56
  5. Step 5: Solve for x
    x = 14,247,943,542.56/78,351.75
  6. Step 6: Final answer
    x = 181,845.89

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