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Finding the Third Proportional to 122,132.72 and 269,112.75

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Solution

The third proportional to 122,132.72 and 269,112.75 is: 592,975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,132.72 : 269,112.75 = 269,112.75 : x
  2. Step 2: Convert to fraction form
    122,132.72/269,112.75 = 269,112.75/x
  3. Step 3: Cross multiply
    122,132.72x = 269,112.75 × 269,112.75
  4. Step 4: Simplify right side
    122,132.72x = 72,421,672,212.56
  5. Step 5: Solve for x
    x = 72,421,672,212.56/122,132.72
  6. Step 6: Final answer
    x = 592,975.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.