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Finding the Third Proportional to 120,725.44 and 163,960.88

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Solution

The third proportional to 120,725.44 and 163,960.88 is: 222,680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,725.44 : 163,960.88 = 163,960.88 : x
  2. Step 2: Convert to fraction form
    120,725.44/163,960.88 = 163,960.88/x
  3. Step 3: Cross multiply
    120,725.44x = 163,960.88 × 163,960.88
  4. Step 4: Simplify right side
    120,725.44x = 26,883,168,530.77
  5. Step 5: Solve for x
    x = 26,883,168,530.77/120,725.44
  6. Step 6: Final answer
    x = 222,680.23

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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.