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Finding the Third Proportional to 88,647 and 192,062.75

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Solution

The third proportional to 88,647 and 192,062.75 is: 416,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,647 : 192,062.75 = 192,062.75 : x
  2. Step 2: Convert to fraction form
    88,647/192,062.75 = 192,062.75/x
  3. Step 3: Cross multiply
    88,647x = 192,062.75 × 192,062.75
  4. Step 4: Simplify right side
    88,647x = 36,888,099,937.56
  5. Step 5: Solve for x
    x = 36,888,099,937.56/88,647
  6. Step 6: Final answer
    x = 416,123.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.