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Finding the Third Proportional to 108,084 and 161,694

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Solution

The third proportional to 108,084 and 161,694 is: 241,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,084 : 161,694 = 161,694 : x
  2. Step 2: Convert to fraction form
    108,084/161,694 = 161,694/x
  3. Step 3: Cross multiply
    108,084x = 161,694 × 161,694
  4. Step 4: Simplify right side
    108,084x = 26,144,949,636
  5. Step 5: Solve for x
    x = 26,144,949,636/108,084
  6. Step 6: Final answer
    x = 241,894.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.