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Finding the Third Proportional to 127,173 and 196,605

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Solution

The third proportional to 127,173 and 196,605 is: 303,944.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,173 : 196,605 = 196,605 : x
  2. Step 2: Convert to fraction form
    127,173/196,605 = 196,605/x
  3. Step 3: Cross multiply
    127,173x = 196,605 × 196,605
  4. Step 4: Simplify right side
    127,173x = 38,653,526,025
  5. Step 5: Solve for x
    x = 38,653,526,025/127,173
  6. Step 6: Final answer
    x = 303,944.44

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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.