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Finding the Third Proportional to 54,568 and 120,607

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Solution

The third proportional to 54,568 and 120,607 is: 266,567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,568 : 120,607 = 120,607 : x
  2. Step 2: Convert to fraction form
    54,568/120,607 = 120,607/x
  3. Step 3: Cross multiply
    54,568x = 120,607 × 120,607
  4. Step 4: Simplify right side
    54,568x = 14,546,048,449
  5. Step 5: Solve for x
    x = 14,546,048,449/54,568
  6. Step 6: Final answer
    x = 266,567.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.