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Finding the Third Proportional to 56,355.75 and 92,198.25

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Solution

The third proportional to 56,355.75 and 92,198.25 is: 150,836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,355.75 : 92,198.25 = 92,198.25 : x
  2. Step 2: Convert to fraction form
    56,355.75/92,198.25 = 92,198.25/x
  3. Step 3: Cross multiply
    56,355.75x = 92,198.25 × 92,198.25
  4. Step 4: Simplify right side
    56,355.75x = 8,500,517,303.06
  5. Step 5: Solve for x
    x = 8,500,517,303.06/56,355.75
  6. Step 6: Final answer
    x = 150,836.73

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.