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Finding the Third Proportional to 56,191.22 and 119,533.78

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Solution

The third proportional to 56,191.22 and 119,533.78 is: 254,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,191.22 : 119,533.78 = 119,533.78 : x
  2. Step 2: Convert to fraction form
    56,191.22/119,533.78 = 119,533.78/x
  3. Step 3: Cross multiply
    56,191.22x = 119,533.78 × 119,533.78
  4. Step 4: Simplify right side
    56,191.22x = 14,288,324,859.92
  5. Step 5: Solve for x
    x = 14,288,324,859.92/56,191.22
  6. Step 6: Final answer
    x = 254,280.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.