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Finding the Third Proportional to 87,968 and 193,432

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Solution

The third proportional to 87,968 and 193,432 is: 425,335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,968 : 193,432 = 193,432 : x
  2. Step 2: Convert to fraction form
    87,968/193,432 = 193,432/x
  3. Step 3: Cross multiply
    87,968x = 193,432 × 193,432
  4. Step 4: Simplify right side
    87,968x = 37,415,938,624
  5. Step 5: Solve for x
    x = 37,415,938,624/87,968
  6. Step 6: Final answer
    x = 425,335.79

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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.