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Finding the Third Proportional to 54,787 and 116,635

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Solution

The third proportional to 54,787 and 116,635 is: 248,302.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,787 : 116,635 = 116,635 : x
  2. Step 2: Convert to fraction form
    54,787/116,635 = 116,635/x
  3. Step 3: Cross multiply
    54,787x = 116,635 × 116,635
  4. Step 4: Simplify right side
    54,787x = 13,603,723,225
  5. Step 5: Solve for x
    x = 13,603,723,225/54,787
  6. Step 6: Final answer
    x = 248,302.03

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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.