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Finding the Third Proportional to 127,514 and 196,757

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Solution

The third proportional to 127,514 and 196,757 is: 303,600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,514 : 196,757 = 196,757 : x
  2. Step 2: Convert to fraction form
    127,514/196,757 = 196,757/x
  3. Step 3: Cross multiply
    127,514x = 196,757 × 196,757
  4. Step 4: Simplify right side
    127,514x = 38,713,317,049
  5. Step 5: Solve for x
    x = 38,713,317,049/127,514
  6. Step 6: Final answer
    x = 303,600.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.