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Finding the Third Proportional to 44,248 and 104,416

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Solution

The third proportional to 44,248 and 104,416 is: 246,399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,248 : 104,416 = 104,416 : x
  2. Step 2: Convert to fraction form
    44,248/104,416 = 104,416/x
  3. Step 3: Cross multiply
    44,248x = 104,416 × 104,416
  4. Step 4: Simplify right side
    44,248x = 10,902,701,056
  5. Step 5: Solve for x
    x = 10,902,701,056/44,248
  6. Step 6: Final answer
    x = 246,399.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.