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Finding the Third Proportional to 127,986.75 and 275,292.75

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Solution

The third proportional to 127,986.75 and 275,292.75 is: 592,140.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,986.75 : 275,292.75 = 275,292.75 : x
  2. Step 2: Convert to fraction form
    127,986.75/275,292.75 = 275,292.75/x
  3. Step 3: Cross multiply
    127,986.75x = 275,292.75 × 275,292.75
  4. Step 4: Simplify right side
    127,986.75x = 75,786,098,202.56
  5. Step 5: Solve for x
    x = 75,786,098,202.56/127,986.75
  6. Step 6: Final answer
    x = 592,140.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.