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Finding the Third Proportional to 45,519 and 99,027

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Solution

The third proportional to 45,519 and 99,027 is: 215,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,519 : 99,027 = 99,027 : x
  2. Step 2: Convert to fraction form
    45,519/99,027 = 99,027/x
  3. Step 3: Cross multiply
    45,519x = 99,027 × 99,027
  4. Step 4: Simplify right side
    45,519x = 9,806,346,729
  5. Step 5: Solve for x
    x = 9,806,346,729/45,519
  6. Step 6: Final answer
    x = 215,434.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.