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Finding the Third Proportional to 41,343.75 and 90,569.75

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Solution

The third proportional to 41,343.75 and 90,569.75 is: 198,406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,343.75 : 90,569.75 = 90,569.75 : x
  2. Step 2: Convert to fraction form
    41,343.75/90,569.75 = 90,569.75/x
  3. Step 3: Cross multiply
    41,343.75x = 90,569.75 × 90,569.75
  4. Step 4: Simplify right side
    41,343.75x = 8,202,879,615.06
  5. Step 5: Solve for x
    x = 8,202,879,615.06/41,343.75
  6. Step 6: Final answer
    x = 198,406.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.