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Finding the Third Proportional to 112,381.50 and 158,083.50

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Solution

The third proportional to 112,381.50 and 158,083.50 is: 222,371.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,381.50 : 158,083.50 = 158,083.50 : x
  2. Step 2: Convert to fraction form
    112,381.50/158,083.50 = 158,083.50/x
  3. Step 3: Cross multiply
    112,381.50x = 158,083.50 × 158,083.50
  4. Step 4: Simplify right side
    112,381.50x = 24,990,392,972.25
  5. Step 5: Solve for x
    x = 24,990,392,972.25/112,381.50
  6. Step 6: Final answer
    x = 222,371.06

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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.