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Finding the Third Proportional to 84,997 and 133,055

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Solution

The third proportional to 84,997 and 133,055 is: 208,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,997 : 133,055 = 133,055 : x
  2. Step 2: Convert to fraction form
    84,997/133,055 = 133,055/x
  3. Step 3: Cross multiply
    84,997x = 133,055 × 133,055
  4. Step 4: Simplify right side
    84,997x = 17,703,633,025
  5. Step 5: Solve for x
    x = 17,703,633,025/84,997
  6. Step 6: Final answer
    x = 208,285.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.