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Finding the Third Proportional to 114,753 and 248,571

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Solution

The third proportional to 114,753 and 248,571 is: 538,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,753 : 248,571 = 248,571 : x
  2. Step 2: Convert to fraction form
    114,753/248,571 = 248,571/x
  3. Step 3: Cross multiply
    114,753x = 248,571 × 248,571
  4. Step 4: Simplify right side
    114,753x = 61,787,542,041
  5. Step 5: Solve for x
    x = 61,787,542,041/114,753
  6. Step 6: Final answer
    x = 538,439.45

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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.