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Finding the Third Proportional to 112,784.27 and 150,339.16

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Solution

The third proportional to 112,784.27 and 150,339.16 is: 200,399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,784.27 : 150,339.16 = 150,339.16 : x
  2. Step 2: Convert to fraction form
    112,784.27/150,339.16 = 150,339.16/x
  3. Step 3: Cross multiply
    112,784.27x = 150,339.16 × 150,339.16
  4. Step 4: Simplify right side
    112,784.27x = 22,601,864,251.01
  5. Step 5: Solve for x
    x = 22,601,864,251.01/112,784.27
  6. Step 6: Final answer
    x = 200,399.08

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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.