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Finding the Third Proportional to 85,020.75 and 127,086.75

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Solution

The third proportional to 85,020.75 and 127,086.75 is: 189,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,020.75 : 127,086.75 = 127,086.75 : x
  2. Step 2: Convert to fraction form
    85,020.75/127,086.75 = 127,086.75/x
  3. Step 3: Cross multiply
    85,020.75x = 127,086.75 × 127,086.75
  4. Step 4: Simplify right side
    85,020.75x = 16,151,042,025.56
  5. Step 5: Solve for x
    x = 16,151,042,025.56/85,020.75
  6. Step 6: Final answer
    x = 189,965.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.