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Finding the Third Proportional to 107,469 and 173,627

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Solution

The third proportional to 107,469 and 173,627 is: 280,511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,469 : 173,627 = 173,627 : x
  2. Step 2: Convert to fraction form
    107,469/173,627 = 173,627/x
  3. Step 3: Cross multiply
    107,469x = 173,627 × 173,627
  4. Step 4: Simplify right side
    107,469x = 30,146,335,129
  5. Step 5: Solve for x
    x = 30,146,335,129/107,469
  6. Step 6: Final answer
    x = 280,511.92

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.