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Finding the Third Proportional to 45,799 and 96,517

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Solution

The third proportional to 45,799 and 96,517 is: 203,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,799 : 96,517 = 96,517 : x
  2. Step 2: Convert to fraction form
    45,799/96,517 = 96,517/x
  3. Step 3: Cross multiply
    45,799x = 96,517 × 96,517
  4. Step 4: Simplify right side
    45,799x = 9,315,531,289
  5. Step 5: Solve for x
    x = 9,315,531,289/45,799
  6. Step 6: Final answer
    x = 203,400.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.