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Finding the Third Proportional to 68,351.34 and 149,156.44

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Solution

The third proportional to 68,351.34 and 149,156.44 is: 325,489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,351.34 : 149,156.44 = 149,156.44 : x
  2. Step 2: Convert to fraction form
    68,351.34/149,156.44 = 149,156.44/x
  3. Step 3: Cross multiply
    68,351.34x = 149,156.44 × 149,156.44
  4. Step 4: Simplify right side
    68,351.34x = 22,247,642,847.69
  5. Step 5: Solve for x
    x = 22,247,642,847.69/68,351.34
  6. Step 6: Final answer
    x = 325,489.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.