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Finding the Third Proportional to 58,013 and 127,234

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Solution

The third proportional to 58,013 and 127,234 is: 279,049.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,013 : 127,234 = 127,234 : x
  2. Step 2: Convert to fraction form
    58,013/127,234 = 127,234/x
  3. Step 3: Cross multiply
    58,013x = 127,234 × 127,234
  4. Step 4: Simplify right side
    58,013x = 16,188,490,756
  5. Step 5: Solve for x
    x = 16,188,490,756/58,013
  6. Step 6: Final answer
    x = 279,049.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.