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Finding the Third Proportional to 50,649 and 117,258

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Solution

The third proportional to 50,649 and 117,258 is: 271,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,649 : 117,258 = 117,258 : x
  2. Step 2: Convert to fraction form
    50,649/117,258 = 117,258/x
  3. Step 3: Cross multiply
    50,649x = 117,258 × 117,258
  4. Step 4: Simplify right side
    50,649x = 13,749,438,564
  5. Step 5: Solve for x
    x = 13,749,438,564/50,649
  6. Step 6: Final answer
    x = 271,465.15

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.