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Finding the Third Proportional to 81,853.50 and 122,886

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Solution

The third proportional to 81,853.50 and 122,886 is: 184,487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,853.50 : 122,886 = 122,886 : x
  2. Step 2: Convert to fraction form
    81,853.50/122,886 = 122,886/x
  3. Step 3: Cross multiply
    81,853.50x = 122,886 × 122,886
  4. Step 4: Simplify right side
    81,853.50x = 15,100,968,996
  5. Step 5: Solve for x
    x = 15,100,968,996/81,853.50
  6. Step 6: Final answer
    x = 184,487.76

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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.