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Finding the Third Proportional to 81,731.50 and 122,679.50

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Solution

The third proportional to 81,731.50 and 122,679.50 is: 184,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,731.50 : 122,679.50 = 122,679.50 : x
  2. Step 2: Convert to fraction form
    81,731.50/122,679.50 = 122,679.50/x
  3. Step 3: Cross multiply
    81,731.50x = 122,679.50 × 122,679.50
  4. Step 4: Simplify right side
    81,731.50x = 15,050,259,720.25
  5. Step 5: Solve for x
    x = 15,050,259,720.25/81,731.50
  6. Step 6: Final answer
    x = 184,142.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.