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Finding the Third Proportional to 57,661 and 118,192

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Solution

The third proportional to 57,661 and 118,192 is: 242,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,661 : 118,192 = 118,192 : x
  2. Step 2: Convert to fraction form
    57,661/118,192 = 118,192/x
  3. Step 3: Cross multiply
    57,661x = 118,192 × 118,192
  4. Step 4: Simplify right side
    57,661x = 13,969,348,864
  5. Step 5: Solve for x
    x = 13,969,348,864/57,661
  6. Step 6: Final answer
    x = 242,266.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.