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Finding the Third Proportional to 41,969 and 65,073

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Solution

The third proportional to 41,969 and 65,073 is: 100,895.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,969 : 65,073 = 65,073 : x
  2. Step 2: Convert to fraction form
    41,969/65,073 = 65,073/x
  3. Step 3: Cross multiply
    41,969x = 65,073 × 65,073
  4. Step 4: Simplify right side
    41,969x = 4,234,495,329
  5. Step 5: Solve for x
    x = 4,234,495,329/41,969
  6. Step 6: Final answer
    x = 100,895.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.