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Finding the Third Proportional to 41,729 and 90,536

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Solution

The third proportional to 41,729 and 90,536 is: 196,428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,729 : 90,536 = 90,536 : x
  2. Step 2: Convert to fraction form
    41,729/90,536 = 90,536/x
  3. Step 3: Cross multiply
    41,729x = 90,536 × 90,536
  4. Step 4: Simplify right side
    41,729x = 8,196,767,296
  5. Step 5: Solve for x
    x = 8,196,767,296/41,729
  6. Step 6: Final answer
    x = 196,428.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.