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Finding the Third Proportional to 41,637 and 90,939

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Solution

The third proportional to 41,637 and 90,939 is: 198,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,637 : 90,939 = 90,939 : x
  2. Step 2: Convert to fraction form
    41,637/90,939 = 90,939/x
  3. Step 3: Cross multiply
    41,637x = 90,939 × 90,939
  4. Step 4: Simplify right side
    41,637x = 8,269,901,721
  5. Step 5: Solve for x
    x = 8,269,901,721/41,637
  6. Step 6: Final answer
    x = 198,619.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.