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Finding the Third Proportional to 50,177 and 118,445

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Solution

The third proportional to 50,177 and 118,445 is: 279,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,177 : 118,445 = 118,445 : x
  2. Step 2: Convert to fraction form
    50,177/118,445 = 118,445/x
  3. Step 3: Cross multiply
    50,177x = 118,445 × 118,445
  4. Step 4: Simplify right side
    50,177x = 14,029,218,025
  5. Step 5: Solve for x
    x = 14,029,218,025/50,177
  6. Step 6: Final answer
    x = 279,594.60

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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.