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Finding the Third Proportional to 131,226.75 and 275,667.75

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Solution

The third proportional to 131,226.75 and 275,667.75 is: 579,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,226.75 : 275,667.75 = 275,667.75 : x
  2. Step 2: Convert to fraction form
    131,226.75/275,667.75 = 275,667.75/x
  3. Step 3: Cross multiply
    131,226.75x = 275,667.75 × 275,667.75
  4. Step 4: Simplify right side
    131,226.75x = 75,992,708,390.06
  5. Step 5: Solve for x
    x = 75,992,708,390.06/131,226.75
  6. Step 6: Final answer
    x = 579,094.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.