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Finding the Third Proportional to 78,642.75 and 171,108.75

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Solution

The third proportional to 78,642.75 and 171,108.75 is: 372,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,642.75 : 171,108.75 = 171,108.75 : x
  2. Step 2: Convert to fraction form
    78,642.75/171,108.75 = 171,108.75/x
  3. Step 3: Cross multiply
    78,642.75x = 171,108.75 × 171,108.75
  4. Step 4: Simplify right side
    78,642.75x = 29,278,204,326.56
  5. Step 5: Solve for x
    x = 29,278,204,326.56/78,642.75
  6. Step 6: Final answer
    x = 372,293.75

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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.