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Finding the Third Proportional to 41,060 and 65,275

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Solution

The third proportional to 41,060 and 65,275 is: 103,770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,060 : 65,275 = 65,275 : x
  2. Step 2: Convert to fraction form
    41,060/65,275 = 65,275/x
  3. Step 3: Cross multiply
    41,060x = 65,275 × 65,275
  4. Step 4: Simplify right side
    41,060x = 4,260,825,625
  5. Step 5: Solve for x
    x = 4,260,825,625/41,060
  6. Step 6: Final answer
    x = 103,770.72

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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.