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Finding the Third Proportional to 108,942 and 168,267

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Solution

The third proportional to 108,942 and 168,267 is: 259,897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,942 : 168,267 = 168,267 : x
  2. Step 2: Convert to fraction form
    108,942/168,267 = 168,267/x
  3. Step 3: Cross multiply
    108,942x = 168,267 × 168,267
  4. Step 4: Simplify right side
    108,942x = 28,313,783,289
  5. Step 5: Solve for x
    x = 28,313,783,289/108,942
  6. Step 6: Final answer
    x = 259,897.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.