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Finding the Third Proportional to 43,434 and 94,554

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Solution

The third proportional to 43,434 and 94,554 is: 205,840.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,434 : 94,554 = 94,554 : x
  2. Step 2: Convert to fraction form
    43,434/94,554 = 94,554/x
  3. Step 3: Cross multiply
    43,434x = 94,554 × 94,554
  4. Step 4: Simplify right side
    43,434x = 8,940,458,916
  5. Step 5: Solve for x
    x = 8,940,458,916/43,434
  6. Step 6: Final answer
    x = 205,840.10

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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.