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Finding the Third Proportional to 87,764 and 193,032

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Solution

The third proportional to 87,764 and 193,032 is: 424,563.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,764 : 193,032 = 193,032 : x
  2. Step 2: Convert to fraction form
    87,764/193,032 = 193,032/x
  3. Step 3: Cross multiply
    87,764x = 193,032 × 193,032
  4. Step 4: Simplify right side
    87,764x = 37,261,353,024
  5. Step 5: Solve for x
    x = 37,261,353,024/87,764
  6. Step 6: Final answer
    x = 424,563.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.