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Finding the Third Proportional to 59,982.75 and 131,265

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Solution

The third proportional to 59,982.75 and 131,265 is: 287,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,982.75 : 131,265 = 131,265 : x
  2. Step 2: Convert to fraction form
    59,982.75/131,265 = 131,265/x
  3. Step 3: Cross multiply
    59,982.75x = 131,265 × 131,265
  4. Step 4: Simplify right side
    59,982.75x = 17,230,500,225
  5. Step 5: Solve for x
    x = 17,230,500,225/59,982.75
  6. Step 6: Final answer
    x = 287,257.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.