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Finding the Third Proportional to 80,520.75 and 121,331.25

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Solution

The third proportional to 80,520.75 and 121,331.25 is: 182,825.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,520.75 : 121,331.25 = 121,331.25 : x
  2. Step 2: Convert to fraction form
    80,520.75/121,331.25 = 121,331.25/x
  3. Step 3: Cross multiply
    80,520.75x = 121,331.25 × 121,331.25
  4. Step 4: Simplify right side
    80,520.75x = 14,721,272,226.56
  5. Step 5: Solve for x
    x = 14,721,272,226.56/80,520.75
  6. Step 6: Final answer
    x = 182,825.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.