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Finding the Third Proportional to 126,659 and 197,656

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Solution

The third proportional to 126,659 and 197,656 is: 308,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,659 : 197,656 = 197,656 : x
  2. Step 2: Convert to fraction form
    126,659/197,656 = 197,656/x
  3. Step 3: Cross multiply
    126,659x = 197,656 × 197,656
  4. Step 4: Simplify right side
    126,659x = 39,067,894,336
  5. Step 5: Solve for x
    x = 39,067,894,336/126,659
  6. Step 6: Final answer
    x = 308,449.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.