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Finding the Third Proportional to 85,999.50 and 126,471.38

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Solution

The third proportional to 85,999.50 and 126,471.38 is: 185,989.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,999.50 : 126,471.38 = 126,471.38 : x
  2. Step 2: Convert to fraction form
    85,999.50/126,471.38 = 126,471.38/x
  3. Step 3: Cross multiply
    85,999.50x = 126,471.38 × 126,471.38
  4. Step 4: Simplify right side
    85,999.50x = 15,995,008,694.39
  5. Step 5: Solve for x
    x = 15,995,008,694.39/85,999.50
  6. Step 6: Final answer
    x = 185,989.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.