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Finding the Third Proportional to 112,158 and 159,972.75

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Solution

The third proportional to 112,158 and 159,972.75 is: 228,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,158 : 159,972.75 = 159,972.75 : x
  2. Step 2: Convert to fraction form
    112,158/159,972.75 = 159,972.75/x
  3. Step 3: Cross multiply
    112,158x = 159,972.75 × 159,972.75
  4. Step 4: Simplify right side
    112,158x = 25,591,280,742.56
  5. Step 5: Solve for x
    x = 25,591,280,742.56/112,158
  6. Step 6: Final answer
    x = 228,171.69

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.