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Finding the Third Proportional to 81,968.50 and 169,049

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Solution

The third proportional to 81,968.50 and 169,049 is: 348,640.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,968.50 : 169,049 = 169,049 : x
  2. Step 2: Convert to fraction form
    81,968.50/169,049 = 169,049/x
  3. Step 3: Cross multiply
    81,968.50x = 169,049 × 169,049
  4. Step 4: Simplify right side
    81,968.50x = 28,577,564,401
  5. Step 5: Solve for x
    x = 28,577,564,401/81,968.50
  6. Step 6: Final answer
    x = 348,640.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.