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Finding the Third Proportional to 50,163 and 118,410

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Solution

The third proportional to 50,163 and 118,410 is: 279,507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,163 : 118,410 = 118,410 : x
  2. Step 2: Convert to fraction form
    50,163/118,410 = 118,410/x
  3. Step 3: Cross multiply
    50,163x = 118,410 × 118,410
  4. Step 4: Simplify right side
    50,163x = 14,020,928,100
  5. Step 5: Solve for x
    x = 14,020,928,100/50,163
  6. Step 6: Final answer
    x = 279,507.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.