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Finding the Third Proportional to 105,383 and 187,375

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Solution

The third proportional to 105,383 and 187,375 is: 333,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,383 : 187,375 = 187,375 : x
  2. Step 2: Convert to fraction form
    105,383/187,375 = 187,375/x
  3. Step 3: Cross multiply
    105,383x = 187,375 × 187,375
  4. Step 4: Simplify right side
    105,383x = 35,109,390,625
  5. Step 5: Solve for x
    x = 35,109,390,625/105,383
  6. Step 6: Final answer
    x = 333,159.91

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.