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Finding the Third Proportional to 59,755 and 131,174

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Solution

The third proportional to 59,755 and 131,174 is: 287,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,755 : 131,174 = 131,174 : x
  2. Step 2: Convert to fraction form
    59,755/131,174 = 131,174/x
  3. Step 3: Cross multiply
    59,755x = 131,174 × 131,174
  4. Step 4: Simplify right side
    59,755x = 17,206,618,276
  5. Step 5: Solve for x
    x = 17,206,618,276/59,755
  6. Step 6: Final answer
    x = 287,952.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.