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Finding the Third Proportional to 45,012 and 100,392

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Solution

The third proportional to 45,012 and 100,392 is: 223,908.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,012 : 100,392 = 100,392 : x
  2. Step 2: Convert to fraction form
    45,012/100,392 = 100,392/x
  3. Step 3: Cross multiply
    45,012x = 100,392 × 100,392
  4. Step 4: Simplify right side
    45,012x = 10,078,553,664
  5. Step 5: Solve for x
    x = 10,078,553,664/45,012
  6. Step 6: Final answer
    x = 223,908.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.