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Finding the Third Proportional to 50,157 and 118,395

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Solution

The third proportional to 50,157 and 118,395 is: 279,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,157 : 118,395 = 118,395 : x
  2. Step 2: Convert to fraction form
    50,157/118,395 = 118,395/x
  3. Step 3: Cross multiply
    50,157x = 118,395 × 118,395
  4. Step 4: Simplify right side
    50,157x = 14,017,376,025
  5. Step 5: Solve for x
    x = 14,017,376,025/50,157
  6. Step 6: Final answer
    x = 279,469.98

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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.