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Finding the Third Proportional to 50,013 and 118,059

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Solution

The third proportional to 50,013 and 118,059 is: 278,686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,013 : 118,059 = 118,059 : x
  2. Step 2: Convert to fraction form
    50,013/118,059 = 118,059/x
  3. Step 3: Cross multiply
    50,013x = 118,059 × 118,059
  4. Step 4: Simplify right side
    50,013x = 13,937,927,481
  5. Step 5: Solve for x
    x = 13,937,927,481/50,013
  6. Step 6: Final answer
    x = 278,686.09

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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.