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Finding the Third Proportional to 54,734 and 117,911

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Solution

The third proportional to 54,734 and 117,911 is: 254,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,734 : 117,911 = 117,911 : x
  2. Step 2: Convert to fraction form
    54,734/117,911 = 117,911/x
  3. Step 3: Cross multiply
    54,734x = 117,911 × 117,911
  4. Step 4: Simplify right side
    54,734x = 13,903,003,921
  5. Step 5: Solve for x
    x = 13,903,003,921/54,734
  6. Step 6: Final answer
    x = 254,010.38

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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.