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Finding the Third Proportional to 81,123 and 125,021

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Solution

The third proportional to 81,123 and 125,021 is: 192,673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,123 : 125,021 = 125,021 : x
  2. Step 2: Convert to fraction form
    81,123/125,021 = 125,021/x
  3. Step 3: Cross multiply
    81,123x = 125,021 × 125,021
  4. Step 4: Simplify right side
    81,123x = 15,630,250,441
  5. Step 5: Solve for x
    x = 15,630,250,441/81,123
  6. Step 6: Final answer
    x = 192,673.48

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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.