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Finding the Third Proportional to 80,116.75 and 122,293.75

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Solution

The third proportional to 80,116.75 and 122,293.75 is: 186,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,116.75 : 122,293.75 = 122,293.75 : x
  2. Step 2: Convert to fraction form
    80,116.75/122,293.75 = 122,293.75/x
  3. Step 3: Cross multiply
    80,116.75x = 122,293.75 × 122,293.75
  4. Step 4: Simplify right side
    80,116.75x = 14,955,761,289.06
  5. Step 5: Solve for x
    x = 14,955,761,289.06/80,116.75
  6. Step 6: Final answer
    x = 186,674.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.