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Finding the Third Proportional to 55,648 and 117,917

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Solution

The third proportional to 55,648 and 117,917 is: 249,863.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,648 : 117,917 = 117,917 : x
  2. Step 2: Convert to fraction form
    55,648/117,917 = 117,917/x
  3. Step 3: Cross multiply
    55,648x = 117,917 × 117,917
  4. Step 4: Simplify right side
    55,648x = 13,904,418,889
  5. Step 5: Solve for x
    x = 13,904,418,889/55,648
  6. Step 6: Final answer
    x = 249,863.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.