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Finding the Third Proportional to 43,383 and 94,460

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Solution

The third proportional to 43,383 and 94,460 is: 205,672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,383 : 94,460 = 94,460 : x
  2. Step 2: Convert to fraction form
    43,383/94,460 = 94,460/x
  3. Step 3: Cross multiply
    43,383x = 94,460 × 94,460
  4. Step 4: Simplify right side
    43,383x = 8,922,691,600
  5. Step 5: Solve for x
    x = 8,922,691,600/43,383
  6. Step 6: Final answer
    x = 205,672.54

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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.