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Finding the Third Proportional to 106,500 and 161,694

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Solution

The third proportional to 106,500 and 161,694 is: 245,492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,500 : 161,694 = 161,694 : x
  2. Step 2: Convert to fraction form
    106,500/161,694 = 161,694/x
  3. Step 3: Cross multiply
    106,500x = 161,694 × 161,694
  4. Step 4: Simplify right side
    106,500x = 26,144,949,636
  5. Step 5: Solve for x
    x = 26,144,949,636/106,500
  6. Step 6: Final answer
    x = 245,492.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.