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Finding the Third Proportional to 49,232 and 107,375

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Solution

The third proportional to 49,232 and 107,375 is: 234,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,232 : 107,375 = 107,375 : x
  2. Step 2: Convert to fraction form
    49,232/107,375 = 107,375/x
  3. Step 3: Cross multiply
    49,232x = 107,375 × 107,375
  4. Step 4: Simplify right side
    49,232x = 11,529,390,625
  5. Step 5: Solve for x
    x = 11,529,390,625/49,232
  6. Step 6: Final answer
    x = 234,184.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.