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Finding the Third Proportional to 112,806 and 150,538.50

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Solution

The third proportional to 112,806 and 150,538.50 is: 200,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,806 : 150,538.50 = 150,538.50 : x
  2. Step 2: Convert to fraction form
    112,806/150,538.50 = 150,538.50/x
  3. Step 3: Cross multiply
    112,806x = 150,538.50 × 150,538.50
  4. Step 4: Simplify right side
    112,806x = 22,661,839,982.25
  5. Step 5: Solve for x
    x = 22,661,839,982.25/112,806
  6. Step 6: Final answer
    x = 200,892.15

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.