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Finding the Third Proportional to 41,092 and 65,526

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Solution

The third proportional to 41,092 and 65,526 is: 104,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,092 : 65,526 = 65,526 : x
  2. Step 2: Convert to fraction form
    41,092/65,526 = 65,526/x
  3. Step 3: Cross multiply
    41,092x = 65,526 × 65,526
  4. Step 4: Simplify right side
    41,092x = 4,293,656,676
  5. Step 5: Solve for x
    x = 4,293,656,676/41,092
  6. Step 6: Final answer
    x = 104,488.87

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.