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Finding the Third Proportional to 87,852 and 193,200

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Solution

The third proportional to 87,852 and 193,200 is: 424,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,852 : 193,200 = 193,200 : x
  2. Step 2: Convert to fraction form
    87,852/193,200 = 193,200/x
  3. Step 3: Cross multiply
    87,852x = 193,200 × 193,200
  4. Step 4: Simplify right side
    87,852x = 37,326,240,000
  5. Step 5: Solve for x
    x = 37,326,240,000/87,852
  6. Step 6: Final answer
    x = 424,876.38

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