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Finding the Third Proportional to 47,702 and 107,573

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Solution

The third proportional to 47,702 and 107,573 is: 242,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,702 : 107,573 = 107,573 : x
  2. Step 2: Convert to fraction form
    47,702/107,573 = 107,573/x
  3. Step 3: Cross multiply
    47,702x = 107,573 × 107,573
  4. Step 4: Simplify right side
    47,702x = 11,571,950,329
  5. Step 5: Solve for x
    x = 11,571,950,329/47,702
  6. Step 6: Final answer
    x = 242,588.37

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.