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Finding the Third Proportional to 62,313 and 133,375

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Solution

The third proportional to 62,313 and 133,375 is: 285,476.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,313 : 133,375 = 133,375 : x
  2. Step 2: Convert to fraction form
    62,313/133,375 = 133,375/x
  3. Step 3: Cross multiply
    62,313x = 133,375 × 133,375
  4. Step 4: Simplify right side
    62,313x = 17,788,890,625
  5. Step 5: Solve for x
    x = 17,788,890,625/62,313
  6. Step 6: Final answer
    x = 285,476.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.