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Finding the Third Proportional to 81,336 and 125,174

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Solution

The third proportional to 81,336 and 125,174 is: 192,639.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,336 : 125,174 = 125,174 : x
  2. Step 2: Convert to fraction form
    81,336/125,174 = 125,174/x
  3. Step 3: Cross multiply
    81,336x = 125,174 × 125,174
  4. Step 4: Simplify right side
    81,336x = 15,668,530,276
  5. Step 5: Solve for x
    x = 15,668,530,276/81,336
  6. Step 6: Final answer
    x = 192,639.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.