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Finding the Third Proportional to 73,986 and 113,463

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Solution

The third proportional to 73,986 and 113,463 is: 174,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,986 : 113,463 = 113,463 : x
  2. Step 2: Convert to fraction form
    73,986/113,463 = 113,463/x
  3. Step 3: Cross multiply
    73,986x = 113,463 × 113,463
  4. Step 4: Simplify right side
    73,986x = 12,873,852,369
  5. Step 5: Solve for x
    x = 12,873,852,369/73,986
  6. Step 6: Final answer
    x = 174,003.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.