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Finding the Third Proportional to 59,780 and 131,170

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Solution

The third proportional to 59,780 and 131,170 is: 287,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,780 : 131,170 = 131,170 : x
  2. Step 2: Convert to fraction form
    59,780/131,170 = 131,170/x
  3. Step 3: Cross multiply
    59,780x = 131,170 × 131,170
  4. Step 4: Simplify right side
    59,780x = 17,205,568,900
  5. Step 5: Solve for x
    x = 17,205,568,900/59,780
  6. Step 6: Final answer
    x = 287,814.80

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