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Finding the Third Proportional to 41,691 and 90,726

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Solution

The third proportional to 41,691 and 90,726 is: 197,433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,691 : 90,726 = 90,726 : x
  2. Step 2: Convert to fraction form
    41,691/90,726 = 90,726/x
  3. Step 3: Cross multiply
    41,691x = 90,726 × 90,726
  4. Step 4: Simplify right side
    41,691x = 8,231,207,076
  5. Step 5: Solve for x
    x = 8,231,207,076/41,691
  6. Step 6: Final answer
    x = 197,433.67

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