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Finding the Third Proportional to 49,414 and 67,208

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Solution

The third proportional to 49,414 and 67,208 is: 91,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,414 : 67,208 = 67,208 : x
  2. Step 2: Convert to fraction form
    49,414/67,208 = 67,208/x
  3. Step 3: Cross multiply
    49,414x = 67,208 × 67,208
  4. Step 4: Simplify right side
    49,414x = 4,516,915,264
  5. Step 5: Solve for x
    x = 4,516,915,264/49,414
  6. Step 6: Final answer
    x = 91,409.63

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.