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Finding the Third Proportional to 54,761 and 117,701

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Solution

The third proportional to 54,761 and 117,701 is: 252,981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,761 : 117,701 = 117,701 : x
  2. Step 2: Convert to fraction form
    54,761/117,701 = 117,701/x
  3. Step 3: Cross multiply
    54,761x = 117,701 × 117,701
  4. Step 4: Simplify right side
    54,761x = 13,853,525,401
  5. Step 5: Solve for x
    x = 13,853,525,401/54,761
  6. Step 6: Final answer
    x = 252,981.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.