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Finding the Third Proportional to 45,517 and 96,775

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Solution

The third proportional to 45,517 and 96,775 is: 205,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,517 : 96,775 = 96,775 : x
  2. Step 2: Convert to fraction form
    45,517/96,775 = 96,775/x
  3. Step 3: Cross multiply
    45,517x = 96,775 × 96,775
  4. Step 4: Simplify right side
    45,517x = 9,365,400,625
  5. Step 5: Solve for x
    x = 9,365,400,625/45,517
  6. Step 6: Final answer
    x = 205,756.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.