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Finding the Third Proportional to 41,258 and 90,244

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Solution

The third proportional to 41,258 and 90,244 is: 197,391.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,258 : 90,244 = 90,244 : x
  2. Step 2: Convert to fraction form
    41,258/90,244 = 90,244/x
  3. Step 3: Cross multiply
    41,258x = 90,244 × 90,244
  4. Step 4: Simplify right side
    41,258x = 8,143,979,536
  5. Step 5: Solve for x
    x = 8,143,979,536/41,258
  6. Step 6: Final answer
    x = 197,391.52

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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.