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Finding the Third Proportional to 78,648.75 and 171,120.75

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Solution

The third proportional to 78,648.75 and 171,120.75 is: 372,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,648.75 : 171,120.75 = 171,120.75 : x
  2. Step 2: Convert to fraction form
    78,648.75/171,120.75 = 171,120.75/x
  3. Step 3: Cross multiply
    78,648.75x = 171,120.75 × 171,120.75
  4. Step 4: Simplify right side
    78,648.75x = 29,282,311,080.56
  5. Step 5: Solve for x
    x = 29,282,311,080.56/78,648.75
  6. Step 6: Final answer
    x = 372,317.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.