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Finding the Third Proportional to 127,165 and 196,593

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Solution

The third proportional to 127,165 and 196,593 is: 303,926.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,165 : 196,593 = 196,593 : x
  2. Step 2: Convert to fraction form
    127,165/196,593 = 196,593/x
  3. Step 3: Cross multiply
    127,165x = 196,593 × 196,593
  4. Step 4: Simplify right side
    127,165x = 38,648,807,649
  5. Step 5: Solve for x
    x = 38,648,807,649/127,165
  6. Step 6: Final answer
    x = 303,926.45

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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.