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Finding the Third Proportional to 86,757.75 and 131,230.69

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Solution

The third proportional to 86,757.75 and 131,230.69 is: 198,500.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,757.75 : 131,230.69 = 131,230.69 : x
  2. Step 2: Convert to fraction form
    86,757.75/131,230.69 = 131,230.69/x
  3. Step 3: Cross multiply
    86,757.75x = 131,230.69 × 131,230.69
  4. Step 4: Simplify right side
    86,757.75x = 17,221,493,341.72
  5. Step 5: Solve for x
    x = 17,221,493,341.72/86,757.75
  6. Step 6: Final answer
    x = 198,500.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.