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Finding the Third Proportional to 49,496 and 101,408

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Solution

The third proportional to 49,496 and 101,408 is: 207,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,496 : 101,408 = 101,408 : x
  2. Step 2: Convert to fraction form
    49,496/101,408 = 101,408/x
  3. Step 3: Cross multiply
    49,496x = 101,408 × 101,408
  4. Step 4: Simplify right side
    49,496x = 10,283,582,464
  5. Step 5: Solve for x
    x = 10,283,582,464/49,496
  6. Step 6: Final answer
    x = 207,765.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.