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Finding the Third Proportional to 122,652 and 179,939.25

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Solution

The third proportional to 122,652 and 179,939.25 is: 263,983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,652 : 179,939.25 = 179,939.25 : x
  2. Step 2: Convert to fraction form
    122,652/179,939.25 = 179,939.25/x
  3. Step 3: Cross multiply
    122,652x = 179,939.25 × 179,939.25
  4. Step 4: Simplify right side
    122,652x = 32,378,133,690.56
  5. Step 5: Solve for x
    x = 32,378,133,690.56/122,652
  6. Step 6: Final answer
    x = 263,983.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.