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Finding the Third Proportional to 43,295 and 94,531

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Solution

The third proportional to 43,295 and 94,531 is: 206,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,295 : 94,531 = 94,531 : x
  2. Step 2: Convert to fraction form
    43,295/94,531 = 94,531/x
  3. Step 3: Cross multiply
    43,295x = 94,531 × 94,531
  4. Step 4: Simplify right side
    43,295x = 8,936,109,961
  5. Step 5: Solve for x
    x = 8,936,109,961/43,295
  6. Step 6: Final answer
    x = 206,400.51

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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.