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Finding the Third Proportional to 94,101.75 and 192,789

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Solution

The third proportional to 94,101.75 and 192,789 is: 394,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,101.75 : 192,789 = 192,789 : x
  2. Step 2: Convert to fraction form
    94,101.75/192,789 = 192,789/x
  3. Step 3: Cross multiply
    94,101.75x = 192,789 × 192,789
  4. Step 4: Simplify right side
    94,101.75x = 37,167,598,521
  5. Step 5: Solve for x
    x = 37,167,598,521/94,101.75
  6. Step 6: Final answer
    x = 394,972.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.