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Finding the Third Proportional to 61,285 and 128,187

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Solution

The third proportional to 61,285 and 128,187 is: 268,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,285 : 128,187 = 128,187 : x
  2. Step 2: Convert to fraction form
    61,285/128,187 = 128,187/x
  3. Step 3: Cross multiply
    61,285x = 128,187 × 128,187
  4. Step 4: Simplify right side
    61,285x = 16,431,906,969
  5. Step 5: Solve for x
    x = 16,431,906,969/61,285
  6. Step 6: Final answer
    x = 268,122.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.