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Finding the Third Proportional to 127,168 and 196,599

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Solution

The third proportional to 127,168 and 196,599 is: 303,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,168 : 196,599 = 196,599 : x
  2. Step 2: Convert to fraction form
    127,168/196,599 = 196,599/x
  3. Step 3: Cross multiply
    127,168x = 196,599 × 196,599
  4. Step 4: Simplify right side
    127,168x = 38,651,166,801
  5. Step 5: Solve for x
    x = 38,651,166,801/127,168
  6. Step 6: Final answer
    x = 303,937.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.