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Finding the Third Proportional to 112,410.75 and 235,213.50

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Solution

The third proportional to 112,410.75 and 235,213.50 is: 492,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,410.75 : 235,213.50 = 235,213.50 : x
  2. Step 2: Convert to fraction form
    112,410.75/235,213.50 = 235,213.50/x
  3. Step 3: Cross multiply
    112,410.75x = 235,213.50 × 235,213.50
  4. Step 4: Simplify right side
    112,410.75x = 55,325,390,582.25
  5. Step 5: Solve for x
    x = 55,325,390,582.25/112,410.75
  6. Step 6: Final answer
    x = 492,171.71

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.