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Finding the Third Proportional to 41,248 and 90,224

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Solution

The third proportional to 41,248 and 90,224 is: 197,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,248 : 90,224 = 90,224 : x
  2. Step 2: Convert to fraction form
    41,248/90,224 = 90,224/x
  3. Step 3: Cross multiply
    41,248x = 90,224 × 90,224
  4. Step 4: Simplify right side
    41,248x = 8,140,370,176
  5. Step 5: Solve for x
    x = 8,140,370,176/41,248
  6. Step 6: Final answer
    x = 197,351.88

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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.