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Finding the Third Proportional to 87,578 and 131,187

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Solution

The third proportional to 87,578 and 131,187 is: 196,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,578 : 131,187 = 131,187 : x
  2. Step 2: Convert to fraction form
    87,578/131,187 = 131,187/x
  3. Step 3: Cross multiply
    87,578x = 131,187 × 131,187
  4. Step 4: Simplify right side
    87,578x = 17,210,028,969
  5. Step 5: Solve for x
    x = 17,210,028,969/87,578
  6. Step 6: Final answer
    x = 196,510.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.