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Finding the Third Proportional to 41,975.72 and 90,717.19

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Solution

The third proportional to 41,975.72 and 90,717.19 is: 196,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,975.72 : 90,717.19 = 90,717.19 : x
  2. Step 2: Convert to fraction form
    41,975.72/90,717.19 = 90,717.19/x
  3. Step 3: Cross multiply
    41,975.72x = 90,717.19 × 90,717.19
  4. Step 4: Simplify right side
    41,975.72x = 8,229,608,107.91
  5. Step 5: Solve for x
    x = 8,229,608,107.91/41,975.72
  6. Step 6: Final answer
    x = 196,056.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.