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Finding the Third Proportional to 126,716 and 274,345

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Solution

The third proportional to 126,716 and 274,345 is: 593,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,716 : 274,345 = 274,345 : x
  2. Step 2: Convert to fraction form
    126,716/274,345 = 274,345/x
  3. Step 3: Cross multiply
    126,716x = 274,345 × 274,345
  4. Step 4: Simplify right side
    126,716x = 75,265,179,025
  5. Step 5: Solve for x
    x = 75,265,179,025/126,716
  6. Step 6: Final answer
    x = 593,967.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.