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Finding the Third Proportional to 54,677 and 119,641

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Solution

The third proportional to 54,677 and 119,641 is: 261,791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,677 : 119,641 = 119,641 : x
  2. Step 2: Convert to fraction form
    54,677/119,641 = 119,641/x
  3. Step 3: Cross multiply
    54,677x = 119,641 × 119,641
  4. Step 4: Simplify right side
    54,677x = 14,313,968,881
  5. Step 5: Solve for x
    x = 14,313,968,881/54,677
  6. Step 6: Final answer
    x = 261,791.41

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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.