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Finding the Third Proportional to 79,746.75 and 165,096.75

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Solution

The third proportional to 79,746.75 and 165,096.75 is: 341,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,746.75 : 165,096.75 = 165,096.75 : x
  2. Step 2: Convert to fraction form
    79,746.75/165,096.75 = 165,096.75/x
  3. Step 3: Cross multiply
    79,746.75x = 165,096.75 × 165,096.75
  4. Step 4: Simplify right side
    79,746.75x = 27,256,936,860.56
  5. Step 5: Solve for x
    x = 27,256,936,860.56/79,746.75
  6. Step 6: Final answer
    x = 341,793.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.