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Finding the Third Proportional to 43,417 and 94,610

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Solution

The third proportional to 43,417 and 94,610 is: 206,164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,417 : 94,610 = 94,610 : x
  2. Step 2: Convert to fraction form
    43,417/94,610 = 94,610/x
  3. Step 3: Cross multiply
    43,417x = 94,610 × 94,610
  4. Step 4: Simplify right side
    43,417x = 8,951,052,100
  5. Step 5: Solve for x
    x = 8,951,052,100/43,417
  6. Step 6: Final answer
    x = 206,164.68

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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.