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Finding the Third Proportional to 85,286.50 and 127,930.50

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Solution

The third proportional to 85,286.50 and 127,930.50 is: 191,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,286.50 : 127,930.50 = 127,930.50 : x
  2. Step 2: Convert to fraction form
    85,286.50/127,930.50 = 127,930.50/x
  3. Step 3: Cross multiply
    85,286.50x = 127,930.50 × 127,930.50
  4. Step 4: Simplify right side
    85,286.50x = 16,366,212,830.25
  5. Step 5: Solve for x
    x = 16,366,212,830.25/85,286.50
  6. Step 6: Final answer
    x = 191,896.88

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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.