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Finding the Third Proportional to 82,219.50 and 122,999.63

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Solution

The third proportional to 82,219.50 and 122,999.63 is: 184,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,219.50 : 122,999.63 = 122,999.63 : x
  2. Step 2: Convert to fraction form
    82,219.50/122,999.63 = 122,999.63/x
  3. Step 3: Cross multiply
    82,219.50x = 122,999.63 × 122,999.63
  4. Step 4: Simplify right side
    82,219.50x = 15,128,907,750.14
  5. Step 5: Solve for x
    x = 15,128,907,750.14/82,219.50
  6. Step 6: Final answer
    x = 184,006.32

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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.