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Finding the Third Proportional to 126,657.75 and 197,655

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Solution

The third proportional to 126,657.75 and 197,655 is: 308,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,657.75 : 197,655 = 197,655 : x
  2. Step 2: Convert to fraction form
    126,657.75/197,655 = 197,655/x
  3. Step 3: Cross multiply
    126,657.75x = 197,655 × 197,655
  4. Step 4: Simplify right side
    126,657.75x = 39,067,499,025
  5. Step 5: Solve for x
    x = 39,067,499,025/126,657.75
  6. Step 6: Final answer
    x = 308,449.34

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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.