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Finding the Third Proportional to 59,192 and 125,917

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Solution

The third proportional to 59,192 and 125,917 is: 267,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,192 : 125,917 = 125,917 : x
  2. Step 2: Convert to fraction form
    59,192/125,917 = 125,917/x
  3. Step 3: Cross multiply
    59,192x = 125,917 × 125,917
  4. Step 4: Simplify right side
    59,192x = 15,855,090,889
  5. Step 5: Solve for x
    x = 15,855,090,889/59,192
  6. Step 6: Final answer
    x = 267,858.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.