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Finding the Third Proportional to 43,275 and 94,431

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Solution

The third proportional to 43,275 and 94,431 is: 206,059.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,275 : 94,431 = 94,431 : x
  2. Step 2: Convert to fraction form
    43,275/94,431 = 94,431/x
  3. Step 3: Cross multiply
    43,275x = 94,431 × 94,431
  4. Step 4: Simplify right side
    43,275x = 8,917,213,761
  5. Step 5: Solve for x
    x = 8,917,213,761/43,275
  6. Step 6: Final answer
    x = 206,059.24

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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.