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Finding the Third Proportional to 54,951 and 117,677

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Solution

The third proportional to 54,951 and 117,677 is: 252,004.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,951 : 117,677 = 117,677 : x
  2. Step 2: Convert to fraction form
    54,951/117,677 = 117,677/x
  3. Step 3: Cross multiply
    54,951x = 117,677 × 117,677
  4. Step 4: Simplify right side
    54,951x = 13,847,876,329
  5. Step 5: Solve for x
    x = 13,847,876,329/54,951
  6. Step 6: Final answer
    x = 252,004.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.