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Finding the Third Proportional to 79,733.50 and 128,471

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Solution

The third proportional to 79,733.50 and 128,471 is: 206,999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,733.50 : 128,471 = 128,471 : x
  2. Step 2: Convert to fraction form
    79,733.50/128,471 = 128,471/x
  3. Step 3: Cross multiply
    79,733.50x = 128,471 × 128,471
  4. Step 4: Simplify right side
    79,733.50x = 16,504,797,841
  5. Step 5: Solve for x
    x = 16,504,797,841/79,733.50
  6. Step 6: Final answer
    x = 206,999.54

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.