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Finding the Third Proportional to 93,424 and 125,872

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Solution

The third proportional to 93,424 and 125,872 is: 169,589.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,424 : 125,872 = 125,872 : x
  2. Step 2: Convert to fraction form
    93,424/125,872 = 125,872/x
  3. Step 3: Cross multiply
    93,424x = 125,872 × 125,872
  4. Step 4: Simplify right side
    93,424x = 15,843,760,384
  5. Step 5: Solve for x
    x = 15,843,760,384/93,424
  6. Step 6: Final answer
    x = 169,589.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.