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Finding the Third Proportional to 112,382.50 and 158,085

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Solution

The third proportional to 112,382.50 and 158,085 is: 222,373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,382.50 : 158,085 = 158,085 : x
  2. Step 2: Convert to fraction form
    112,382.50/158,085 = 158,085/x
  3. Step 3: Cross multiply
    112,382.50x = 158,085 × 158,085
  4. Step 4: Simplify right side
    112,382.50x = 24,990,867,225
  5. Step 5: Solve for x
    x = 24,990,867,225/112,382.50
  6. Step 6: Final answer
    x = 222,373.30

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.