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Finding the Third Proportional to 43,678 and 94,772

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Solution

The third proportional to 43,678 and 94,772 is: 205,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,678 : 94,772 = 94,772 : x
  2. Step 2: Convert to fraction form
    43,678/94,772 = 94,772/x
  3. Step 3: Cross multiply
    43,678x = 94,772 × 94,772
  4. Step 4: Simplify right side
    43,678x = 8,981,731,984
  5. Step 5: Solve for x
    x = 8,981,731,984/43,678
  6. Step 6: Final answer
    x = 205,635.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.