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Finding the Third Proportional to 57,546 and 119,087

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Solution

The third proportional to 57,546 and 119,087 is: 246,441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,546 : 119,087 = 119,087 : x
  2. Step 2: Convert to fraction form
    57,546/119,087 = 119,087/x
  3. Step 3: Cross multiply
    57,546x = 119,087 × 119,087
  4. Step 4: Simplify right side
    57,546x = 14,181,713,569
  5. Step 5: Solve for x
    x = 14,181,713,569/57,546
  6. Step 6: Final answer
    x = 246,441.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.