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Finding the Third Proportional to 43,089 and 92,493

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Solution

The third proportional to 43,089 and 92,493 is: 198,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,089 : 92,493 = 92,493 : x
  2. Step 2: Convert to fraction form
    43,089/92,493 = 92,493/x
  3. Step 3: Cross multiply
    43,089x = 92,493 × 92,493
  4. Step 4: Simplify right side
    43,089x = 8,554,955,049
  5. Step 5: Solve for x
    x = 8,554,955,049/43,089
  6. Step 6: Final answer
    x = 198,541.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.