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Finding the Third Proportional to 80,314.88 and 112,817.81

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Solution

The third proportional to 80,314.88 and 112,817.81 is: 158,474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,314.88 : 112,817.81 = 112,817.81 : x
  2. Step 2: Convert to fraction form
    80,314.88/112,817.81 = 112,817.81/x
  3. Step 3: Cross multiply
    80,314.88x = 112,817.81 × 112,817.81
  4. Step 4: Simplify right side
    80,314.88x = 12,727,858,817.29
  5. Step 5: Solve for x
    x = 12,727,858,817.29/80,314.88
  6. Step 6: Final answer
    x = 158,474.49

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.