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Finding the Third Proportional to 54,725.38 and 119,830.38

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Solution

The third proportional to 54,725.38 and 119,830.38 is: 262,388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,725.38 : 119,830.38 = 119,830.38 : x
  2. Step 2: Convert to fraction form
    54,725.38/119,830.38 = 119,830.38/x
  3. Step 3: Cross multiply
    54,725.38x = 119,830.38 × 119,830.38
  4. Step 4: Simplify right side
    54,725.38x = 14,359,318,772.64
  5. Step 5: Solve for x
    x = 14,359,318,772.64/54,725.38
  6. Step 6: Final answer
    x = 262,388.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.