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Finding the Third Proportional to 87,733.69 and 131,014.69

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Solution

The third proportional to 87,733.69 and 131,014.69 is: 195,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,733.69 : 131,014.69 = 131,014.69 : x
  2. Step 2: Convert to fraction form
    87,733.69/131,014.69 = 131,014.69/x
  3. Step 3: Cross multiply
    87,733.69x = 131,014.69 × 131,014.69
  4. Step 4: Simplify right side
    87,733.69x = 17,164,848,340.72
  5. Step 5: Solve for x
    x = 17,164,848,340.72/87,733.69
  6. Step 6: Final answer
    x = 195,647.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.