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Finding the Third Proportional to 81,025.45 and 122,656.15

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Solution

The third proportional to 81,025.45 and 122,656.15 is: 185,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,025.45 : 122,656.15 = 122,656.15 : x
  2. Step 2: Convert to fraction form
    81,025.45/122,656.15 = 122,656.15/x
  3. Step 3: Cross multiply
    81,025.45x = 122,656.15 × 122,656.15
  4. Step 4: Simplify right side
    81,025.45x = 15,044,530,749.52
  5. Step 5: Solve for x
    x = 15,044,530,749.52/81,025.45
  6. Step 6: Final answer
    x = 185,676.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.