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Finding the Third Proportional to 41,893 and 89,783

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Solution

The third proportional to 41,893 and 89,783 is: 192,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,893 : 89,783 = 89,783 : x
  2. Step 2: Convert to fraction form
    41,893/89,783 = 89,783/x
  3. Step 3: Cross multiply
    41,893x = 89,783 × 89,783
  4. Step 4: Simplify right side
    41,893x = 8,060,987,089
  5. Step 5: Solve for x
    x = 8,060,987,089/41,893
  6. Step 6: Final answer
    x = 192,418.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.