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Finding the Third Proportional to 41,648 and 89,248

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Solution

The third proportional to 41,648 and 89,248 is: 191,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,648 : 89,248 = 89,248 : x
  2. Step 2: Convert to fraction form
    41,648/89,248 = 89,248/x
  3. Step 3: Cross multiply
    41,648x = 89,248 × 89,248
  4. Step 4: Simplify right side
    41,648x = 7,965,205,504
  5. Step 5: Solve for x
    x = 7,965,205,504/41,648
  6. Step 6: Final answer
    x = 191,250.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.