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Finding the Third Proportional to 120,724.45 and 163,960.03

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Solution

The third proportional to 120,724.45 and 163,960.03 is: 222,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,724.45 : 163,960.03 = 163,960.03 : x
  2. Step 2: Convert to fraction form
    120,724.45/163,960.03 = 163,960.03/x
  3. Step 3: Cross multiply
    120,724.45x = 163,960.03 × 163,960.03
  4. Step 4: Simplify right side
    120,724.45x = 26,882,891,847.50
  5. Step 5: Solve for x
    x = 26,882,891,847.50/120,724.45
  6. Step 6: Final answer
    x = 222,679.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.