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Finding the Third Proportional to 43,638 and 95,124

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Solution

The third proportional to 43,638 and 95,124 is: 207,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,638 : 95,124 = 95,124 : x
  2. Step 2: Convert to fraction form
    43,638/95,124 = 95,124/x
  3. Step 3: Cross multiply
    43,638x = 95,124 × 95,124
  4. Step 4: Simplify right side
    43,638x = 9,048,575,376
  5. Step 5: Solve for x
    x = 9,048,575,376/43,638
  6. Step 6: Final answer
    x = 207,355.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.