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Finding the Third Proportional to 57,624 and 133,353

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Solution

The third proportional to 57,624 and 133,353 is: 308,604.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,624 : 133,353 = 133,353 : x
  2. Step 2: Convert to fraction form
    57,624/133,353 = 133,353/x
  3. Step 3: Cross multiply
    57,624x = 133,353 × 133,353
  4. Step 4: Simplify right side
    57,624x = 17,783,022,609
  5. Step 5: Solve for x
    x = 17,783,022,609/57,624
  6. Step 6: Final answer
    x = 308,604.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.