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Finding the Third Proportional to 45,003 and 108,453

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Solution

The third proportional to 45,003 and 108,453 is: 261,361.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,003 : 108,453 = 108,453 : x
  2. Step 2: Convert to fraction form
    45,003/108,453 = 108,453/x
  3. Step 3: Cross multiply
    45,003x = 108,453 × 108,453
  4. Step 4: Simplify right side
    45,003x = 11,762,053,209
  5. Step 5: Solve for x
    x = 11,762,053,209/45,003
  6. Step 6: Final answer
    x = 261,361.54

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.