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Finding the Third Proportional to 122,137 and 193,863

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Solution

The third proportional to 122,137 and 193,863 is: 307,710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,137 : 193,863 = 193,863 : x
  2. Step 2: Convert to fraction form
    122,137/193,863 = 193,863/x
  3. Step 3: Cross multiply
    122,137x = 193,863 × 193,863
  4. Step 4: Simplify right side
    122,137x = 37,582,862,769
  5. Step 5: Solve for x
    x = 37,582,862,769/122,137
  6. Step 6: Final answer
    x = 307,710.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.