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Finding the Third Proportional to 85,488.75 and 127,757.25

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Solution

The third proportional to 85,488.75 and 127,757.25 is: 190,924.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,488.75 : 127,757.25 = 127,757.25 : x
  2. Step 2: Convert to fraction form
    85,488.75/127,757.25 = 127,757.25/x
  3. Step 3: Cross multiply
    85,488.75x = 127,757.25 × 127,757.25
  4. Step 4: Simplify right side
    85,488.75x = 16,321,914,927.56
  5. Step 5: Solve for x
    x = 16,321,914,927.56/85,488.75
  6. Step 6: Final answer
    x = 190,924.71

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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.