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Finding the Third Proportional to 86,784.75 and 131,265.56

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Solution

The third proportional to 86,784.75 and 131,265.56 is: 198,544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,784.75 : 131,265.56 = 131,265.56 : x
  2. Step 2: Convert to fraction form
    86,784.75/131,265.56 = 131,265.56/x
  3. Step 3: Cross multiply
    86,784.75x = 131,265.56 × 131,265.56
  4. Step 4: Simplify right side
    86,784.75x = 17,230,647,898.44
  5. Step 5: Solve for x
    x = 17,230,647,898.44/86,784.75
  6. Step 6: Final answer
    x = 198,544.65

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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.