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Finding the Third Proportional to 43,125 and 94,269

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Solution

The third proportional to 43,125 and 94,269 is: 206,067.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,125 : 94,269 = 94,269 : x
  2. Step 2: Convert to fraction form
    43,125/94,269 = 94,269/x
  3. Step 3: Cross multiply
    43,125x = 94,269 × 94,269
  4. Step 4: Simplify right side
    43,125x = 8,886,644,361
  5. Step 5: Solve for x
    x = 8,886,644,361/43,125
  6. Step 6: Final answer
    x = 206,067.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.